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Articles 601 - 630 of 685
Full-Text Articles in Physical Sciences and Mathematics
Student Fact Book, Fall 1994, Wright State University, Office Of Student Information Systems, Wright State University
Student Fact Book, Fall 1994, Wright State University, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1994.
Some Limit Theorem On Conditional U-Statistics And Censored Data Non Parametric Regression., Arusharka Sen Dr.
Some Limit Theorem On Conditional U-Statistics And Censored Data Non Parametric Regression., Arusharka Sen Dr.
Doctoral Theses
In Statistics, a classical problem is that of estimating the regression function which is defined as m{t) := E(Y|X = ), te R, for two random variables X and Y such that EY < 0o. The estimators are constructed iased on a sample {(Xi, Yi.)}, 1sis n,n 2 1, from the distribution of (X, Y). Throughout this thesis, we assume X and Y to be real-valued for the sake of convenience. The classical approach to this problem is to assume a parametrized, polynomial form for nt-), i.e., m(t) := Bo + E-1 P,ti, p 21, and obtain estimates of the unknown paraineters Bo, Bj,, 1sjsp. Later, with the development of techıniques for non-parametrie density estimation, it was sought to extend these techniques to regression estimation. Heuristically, the two problems can be seen to be related as follows : let fi(-) be the marginal density of X and note that E1(X S x) = h(t)dt, z € R, whereas EY 1(X Sx) = m(t)fi(t)dt, x E MR. (1.0.2) In other wordds, (1.0.1) can be looked upon as a special case of (1.0.2), with Y = 1. + similarity, as we shall see later on, has been the underlying theme in Chapters 2 and 4 of the present work.) The following non-parametric regression estimator was proposed independently by Nadaraya (1964) and Watson (1964): "(): := m.(Y,)/m.(1, ), te R, (1.0.3) where m,(Y, t) = (nan)- E-, Y;K((t - X:)/an). (1.0.4) m,(1,1) (na,)-E, K((I - X)/a,). Here K(), the so-called kernel function, is chosen to satiafy various analytical conditions (typically, K(-) is taken to be a density function), and a, 1 0 are the bandwidths which go to zero sufficiently slowly (e.g., na,0o as n00) in order to ensure consistency of the estimator mW (). The intuition behind such an estimator is that m,(Y,) is an estimator of mt-)fi() while m,(1,) cstimates the density fa(-). See Prakasa Rao (1983), Chapters 1-4. for an introduction to non-parametric density and regression estimation. Now, m(t) is a functional of the conditional distribution of Y, given X = t. A natu- ral generalisation of the regression estimation problem seems to be the estimation of the following functionals: mh(t1,....tk) := E{h(Y1,.....Yk) | X1, = t1.,Xk. = tk), (t....) € R*, k 2 1, (1.0.5) where h: R*- R is such that Elh(Y...., Y) < 0. A similar generalisation led Hoelfding (1948) from the sample mcan to the theory of so-called U-statistics, in the uncondilional set-up. The estimation of (1.0.5) were considerexl, for the first time in published form, in Stute (1991) where the following conditional U-statistics were proposed as estimators;where Fn(-) := n-1E, 1(Xi; < ) denotes the empirical distribution function (c.d.f Bochynek discussed the asymptotic normality of conditional U- and V-statistics and pei formed simulation studies on them. Stute (1991) established weak and strong pointwis consistency and asymptotic normality of U(t). Liero (1991) studied uniform strong con sistency of conditional U-statistics and established asymptotic normality of the integrate squared error (ISE) statistic:for suitable A c R* and weight function w(-). We quote the following examples to illustrate the possible use of conditional U-statistics See Stute (1991) and Bochynek (1987) for other examples. Throughout this thesis, our set up will be as foliows: {(Xn, Yn)}n>ı is a bi-variate i.i.d sequence, with (X1, Y1) having join density f(,-) and X, having marginal density fi(-). Consequently,
Student Fact Book, Fall 1993, Wright State University, Office Of Student Information Systems, Wright State University
Student Fact Book, Fall 1993, Wright State University, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1993.
Student Fact Book, Fall 1992, Wright State University, Office Of Student Information Systems, Wright State University
Student Fact Book, Fall 1992, Wright State University, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1992.
Teaching Introductory Statistics: A Graphical Relationship Between The Cumulative Distribution Function And The Probability Distribution Function, Dwight Adamnson, Scott Fausti
Teaching Introductory Statistics: A Graphical Relationship Between The Cumulative Distribution Function And The Probability Distribution Function, Dwight Adamnson, Scott Fausti
Economics Staff Paper Series
Introductory statistics textbooks typically develop the concept of continuous random variables with a discussion of only the variables' probability distribution function and omit any discussion of the cumulative distribution function. The cumulative distribution function, however, is useful in developing the concepts of a normal distribution, the standard normal distribution and the probability of a continuous random variable falls within a specific range of values since the standard normal statistical table is derived from the cumulative distribution function. This paper develops a simple graphical relationship between a continuous random variables' cumulative distribution function and its probability distribution function that can be …
On Some Problems In Analysis Of Covariance Structure., Sadhan Samar Maiti Dr.
On Some Problems In Analysis Of Covariance Structure., Sadhan Samar Maiti Dr.
Doctoral Theses
In recent years, the teahniques of struotural analynie of covarianoe and correlation matrioes have frequently be en employed espeed ally in the s ooial and behavioural soieno es for analysing multivariate data. Analysis of covarlance structures (ACOVS) lea; generie tem describing a variety of statistioal procedures for testing and measuring the goodnese-of-fit of certain types of struotures postulated a priori for the cova- riance matrix by plaoing al temative restriotione on the para- neter natrioes of the general model" [Mukherjee, 1976, p. 132].The aoronyn AOOVS' standa for; analyeis of covarianoe atructurea; and waa firat proposed by Book (1960) as a …
On Image Information Measures And Object Extraction., Nikhil Ranjan Pal Dr.
On Image Information Measures And Object Extraction., Nikhil Ranjan Pal Dr.
Doctoral Theses
The field of image processing deals with the manipulation of data which are inherently two-dimensional in nature. techniques of image processing sten from two principal application The areas, namely, Improvement of pictorial information for human interpretation and processing of scene data for automatic machine perception. These areas together have experienced a vigorous growth in recent years because they have offered a number of important applications in solving scientific and engineering problems. In biological and medical sciences, we are interested in automatie analysis and interpretation of radiographs, cell images micrographs. In netallurgical, geological and and tissue environmental sciences, we are concerned …
Student Fact Book, Fall 1991, Wright State University, Office Of Student Information Systems, Wright State University
Student Fact Book, Fall 1991, Wright State University, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1991.
Search Designs And Other Topic In Fractional Replication., Kashinath Chatterjee Dr.
Search Designs And Other Topic In Fractional Replication., Kashinath Chatterjee Dr.
Doctoral Theses
This thesis primarily deals with search designs (see Srivastava (1975)) of various types for general symmetric and asymmetric factorials. The thesis also considers some other types on fractional factorials. We have made use of Kronecker products and various other results from matrix theory.In the first four chapters, different types of search designs have been studied. Chapter 5A considers the construction of orthogonal main-effect plans for general factorial experiments under the presence of a linear time trend. Chapter 5B extends the calculus for factorial arrangements to a fractional factorial set-up and examines critically the proportional frequency plans from the point of …
Student Fact Book, Fall 1990, Wright State University, Office Of Student Information Systems, Wright State University
Student Fact Book, Fall 1990, Wright State University, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1990.
Student Fact Book, Fall 1989, Wright State University 25 Years Vision Unlimited, Office Of Student Information Systems, Wright State University
Student Fact Book, Fall 1989, Wright State University 25 Years Vision Unlimited, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1989.
Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr.
Contribution To The Theory Of Stochastic Games., Sagnik Sinha Dr.
Doctoral Theses
A mathematical theory of Games of Strategy was born in several stages between 1928 and 1941. John von Neumann is known as its father. The culmination of the pioneering work of von Neumann and Morgenstern was the publication of the Theory of Games and Economic Behavior (Ref.28] in 1944. Ik is snid of the book . posterity may regard this book as one of the major scientifie achievements of the first half of the twentieth century. Emphasizing a new approach to competetive behaviour through a mathematical reduction to suitable games of strategy, this giant work laid bare a host of …
Some Contributions To The Asymptotic Theory Of Estimation In Non Regular Case., Tapas Samnta Dr.
Some Contributions To The Asymptotic Theory Of Estimation In Non Regular Case., Tapas Samnta Dr.
Doctoral Theses
The introduction of the concept of onymptotie efficiency of statistical eatimators in connection with proposing and developing she method of maximu, 1ikelihood by . Fislior (Fisher (1922, 1929)) 1s really the atar ting point of the asymptotie theory of es timation. -istorieally, however, Laplace (1774) and Gausa (1009) had made tuo irferent studieo oarlier then Fisher bo ti connected d th as ymp to tie theory of estination. Fisher considered only consistent a symptotically rewnal untinotoro and meured the asyaptotie performance of an anti- mator by ite aayep totle variaree. Thus, a coreistent aeynp to tieally nomal eetimoator with let …
Some Contributions To Directional Statistics: Characterixation And Asymptotics., Sumitra Purkayastha Dr.
Some Contributions To Directional Statistics: Characterixation And Asymptotics., Sumitra Purkayastha Dr.
Doctoral Theses
In many natural and physical sciences the obser- vations are in the form of directions in 2- or 3-dimensional Euclidean space or rotations of such a space. In the former case, it is tustomary to represent the observations by points on the unit ball in R2 or R3, or more.generally, Rp. In the latter case, the observations are represented by orthogonal matrices having determinant +1, or more generally, by nxp (ngp) matrices A satisfying AAt=In,i.e., by elements of Stiefel manifold. Examples .of observations on directions in 2-dimensional space include those on wind direction or on flight direction of birds, Similarly, …
Student Profile, Fall 1988, Wright State University, Office Of Student Information Systems, Wright State University
Student Profile, Fall 1988, Wright State University, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1988.
Student Profile, Fall 1987, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Student Profile, Fall 1987, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1987.
Asymptotic Study Of Estimators In Some Discrete And Continuous Time Model., Arup Bose Dr.
Asymptotic Study Of Estimators In Some Discrete And Continuous Time Model., Arup Bose Dr.
Doctoral Theses
This thesis deals with an asymptotic study of estimatore in some discrete time and continuOus time models.The firet part deele with time eeriee date modelled by moving sverage and eutoregreseive proceseee. Higher order as ymptotioe beyond. as ymptotio normality, of the usual astimatore heve been dealt by Phillipe (1977,1978), Durbin (198o), Oohi (1983), Tanaka (1983), Fujikoshi and Ochi (1984). o(n-1/2) or o(n-1) expenaions ara 'obteined by these authore under the assumption of normality of orrors. The reason for this wes the lack of suitable. expaneions for normalized sums of dependent random vectora. Recently Gotza and Hipp (1983) heve been able …
Shamat: A Matrix Manipulation Program, Shahriyar Dadkhah
Shamat: A Matrix Manipulation Program, Shahriyar Dadkhah
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
This report is both a users guide and a programmers manual for running and modifying the program SHAMAT, an interactive matrix calculator. The program is written in Turbo Pascal version 3.0 for MS-DOS computers. This software enables the user to type in matrix equations for solving statistical problems such as multiple regression, analysis of variance, etc. All matrix operations necessary for linear models analysis are included in this program. Since each operation uses a separate subroutine, program enhancement, modification and updating is demonstrated to be easy.
Estimation Of Demographic Parameters For India., S. Guha Roy Dr.
Estimation Of Demographic Parameters For India., S. Guha Roy Dr.
Doctoral Theses
There has been a peralstent empliasis both at the na tional and international levela on the developmont and application of techniques of estimation of demographio variablos from incomplete or inagcurute data in Coneietont wi th the theme of reuoaroh, the the lesu developed rogiona. present study tries to provide estimates of vital rates and prospective population trends in India and to form a basis for measuri.ng suoh hunan neede as vducation, employment, f'anily weltare,and few others in terms of population size,growth, ago s truature and nuptiality. The other major objectivu is to undertake furthor utilization of data generated by tihe …
Multisectoral Model Of Income Distribution Poverty And Growth:Some Policy Exercies For Indian Economy., Debdas Bandyopadhyay Dr.
Multisectoral Model Of Income Distribution Poverty And Growth:Some Policy Exercies For Indian Economy., Debdas Bandyopadhyay Dr.
Doctoral Theses
The extent of poverty in any country depends upon two factors vlz, the average level of income anxd the degree of inequality in its distribution. The central theme in the continuing debate on the relationship between growth and poverty is whether past growth process in the developing countries has caused any signi.licant benefit to the poor. Kuznets (1955) was first to observe from cross country data that procosa of development is likely to be accompanied by increase in inequality, whhich would reverse itself only at a relatively advanced stage. This hypothesis has been subsequently confirned to some extent by several …
Large Deviations For Processes With Independent Increments, James Lynch, Jayaram Sethuraman
Large Deviations For Processes With Independent Increments, James Lynch, Jayaram Sethuraman
Faculty Publications
Let X be a topological space and F denote the Borel σ-field in X. A family of probability measures {Pλ} is said to obey the large deviation principle (LDP) with rate function I(⋅) if Pλ(A) can be suitably approximated by exp{−λinfx∈AI(x)} for appropriate sets A in F. Here the LDP is studied for probability measures induced by stochastic processes with stationary and independent increments which have no Gaussian component. It is assumed that the moment generating function of the increments exists and thus the sample paths of such stochastic processes lie in the space of functions of bounded variation. The …
Student Profile, Fall 1986, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Student Profile, Fall 1986, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1986.
Student Profile, Fall 1985, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Student Profile, Fall 1985, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1985.
Analysis Of International Travel Statistics For 1982, Central Bank Of Nigeria Cbn
Analysis Of International Travel Statistics For 1982, Central Bank Of Nigeria Cbn
Economic and Financial Review
This paper analyses statistics on international travels for 1982 based on information derived from the Nigerian Exchange Control TM (arrival) forms. The forms are designed to enable travellers coming into the country from abroad to declare their holdings of foreign currency, precious stones, jewellery and works of art.
Student Profile, Fall 1984, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Student Profile, Fall 1984, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1984.
Statistical Section (June 1984), Central Bank Of Nigeria Cbn
Statistical Section (June 1984), Central Bank Of Nigeria Cbn
Economic and Financial Review
Statistical tables on central banking, commercial banking, merchant banking, international liquidity, international trade, the flow of funds, money supply, national savings, production, consumer prices, public debt and public finance.
Student Profile, Fall 1983, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Student Profile, Fall 1983, Division Of Student Affairs, Wright State University, Dayton, Ohio, Office Of Student Information Systems, Wright State University
Wright State University Student Fact Books
The student profile fact book has general demographic information on all students enrolled at Wright State University for Fall Quarter, 1983.
Statistical Section (September 1983), Central Bank Of Nigeria Cbn
Statistical Section (September 1983), Central Bank Of Nigeria Cbn
Economic and Financial Review
The statistical tables comprised of the following: Central Bank of Nigeria statement of assets & liabilities, Central Bank monthly rediscounts gross, Commercial Banks' statement of assets and liabilities, Analysis of Commercial Banks' loans and advances, Selected predominant interest rates, Ratio of loans and advances to deposits, Net external assets of Commercial Banks, and Liquidity ratios of Commercial and merchants Banks'.
Contributions To The Study Of Bayes Estimates: The Maximum Likelihood Estimate And Rao's Test., S. N. Joshi Dr.
Contributions To The Study Of Bayes Estimates: The Maximum Likelihood Estimate And Rao's Test., S. N. Joshi Dr.
Doctoral Theses
This the sis consists of two parts. In part I we have investigated problems concerning Bayes estimates, especially ex pansion of the integrated risk of the Bayes estinate (also referred to as the Bayes risk or the integrated Bayes risk), approximation of the Bayes estimate and expansion of the posterior distribution. In part II we have introduc ed a new opimun property for estimates and have concluded that the maximum likelihood estimate (m.1.e.) enjoys this property ; in this part we have also investigated what is known as Raos conjecture which saya that the test based on the score function …
Study Of The Robustness Of Inference Procedures In Linear Models With Specification Errors., Thomas Mathew Dr.
Study Of The Robustness Of Inference Procedures In Linear Models With Specification Errors., Thomas Mathew Dr.
Doctoral Theses
We consid er the poneral lingar nodel Y = X v e, here Y io an nx1 rundor voctor taking valacs in 2, x is an nXu ratrix (the deni gn ratrix), ip an 1X1 vectur uf unknown partro tere varying in R and 1s an nx1 voctor of errors with E(e) = 0 and E(ee') - o2v,o2 boing a positive scalar (known or unknown) and is an nXn non-negative definite Ta trix. It in assurmod that n < n. Such a nodel (also known as the Gauss-Markov nodel) is usually denoted by (Y, Xβ,α2v). he defini tions ot un catinable lincar paranctric function, sinple least squires estimator (SLSE), best linear unbia sed estinator (BLUE), linsar ninir:un bias cstinator (IIMBE) and best Iinear nininum bias estinator (BIIMBE) under the nodel (Y, Xβ,α2v arc we 11. known and we retor to Rao and Mitra (1971, Chaptere 7 and B) for the details.Early contributions towärde estinating linear functionals of β are due to Logenire (i806), Gauss (1609) and Varkov (1912), where attention was concentrated on the case where R(X)= n and V = I, the identity natrix. Aitken (1934) considercd the problen of bost lincar unbianed catiration under the setup vhere R(x) = n and V is any positive definite natrix. Bose (1944) conside the casc where R(X) < n and V = 1, while Rao (1945) genera d this to any positive defini te V. Seal (1967) ives a good histo- rical account of the linear model upto 1935 and Plackott (194 9) givus a shorl histurical nute un the raothori uf Jount aquarce. WEE the covariance atixv is nunaingnlar ilh v is nunainglar . la V known und tiho nXn 15 Lrix X is of tnll ruk, i.c. o? runit n and when fur thor the culca ut the ratri are li orthonor- Lial igenvectcre ut v, tun it is at yasil wririahle fact that ie icontical1 ita its S13. his ract was first pointed aut by Andernon (1948) and nutice of it was lakon soon af ter by Durbir und watecn (1950). Fro thin tire cnards, the problen of deriving necessary and sufficient conditions under which the SISE't are e also corresponiing ELUE a hae received con- siderable attontion, mainly due to the norputationl advantage of the S1.SR over the ILUE. The present work is devoted to the study of the robuatness of cstiration and testiag: prucordarcs in linar codels with in- correct desim und dispersion aaa brices. Betore giving a surary of the probleris considUred we shull prosent a brief rovicw of th 1iterature in this area.A atatonant on vorious noceary anl nfricient ountitionn for the equalily of tha iaa aid correapotsiin BIJRse de by Zyakind (1962) On: of the cunlatiuna ota tod huru 1a that thore exista a nahuut of r udiponveetoro of V that forma banio uf the vector spucu spied by tho colunna of the design ratrix X. A proot thut the cáguvuotur ounition is both neoessary and auf- firient for the correapuiliny HTE arsl SLSE to huve the ae cuvarianeu natri: du oresoutua vdth X n all at ai 7 aonningular hy Ma, maa ant aGuáro (1962).