Statistical Estimation

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Statistical Estimation

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Author : I.A. Ibragimov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Statistical Estimation written by I.A. Ibragimov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

when certain parameters in the problem tend to limiting values (for example, when the sample size increases indefinitely, the intensity of the noise ap proaches zero, etc.) To address the problem of asymptotically optimal estimators consider the following important case. Let X 1, X 2, ... , X n be independent observations with the joint probability density !(x,O) (with respect to the Lebesgue measure on the real line) which depends on the unknown patameter o e 9 c R1. It is required to derive the best (asymptotically) estimator 0:( X b ... , X n) of the parameter O. The first question which arises in connection with this problem is how to compare different estimators or, equivalently, how to assess their quality, in terms of the mean square deviation from the parameter or perhaps in some other way. The presently accepted approach to this problem, resulting from A. Wald's contributions, is as follows: introduce a nonnegative function w(0l> ( ), Ob Oe 9 (the loss function) and given two estimators Of and O! n 2 2 the estimator for which the expected loss (risk) Eown(Oj, 0), j = 1 or 2, is smallest is called the better with respect to Wn at point 0 (here EoO is the expectation evaluated under the assumption that the true value of the parameter is 0). Obviously, such a method of comparison is not without its defects.

Statistical Estimation And Testing

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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-04-06

Statistical Estimation And Testing written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-06 with Mathematics categories.

EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.

Non Regular Statistical Estimation

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Author : Masafumi Akahira
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Non Regular Statistical Estimation written by Masafumi Akahira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In order to obtain many of the classical results in the theory of statistical estimation, it is usual to impose regularity conditions on the distributions under consideration. In small sample and large sample theories of estimation there are well established sets of regularity conditions, and it is worth while to examine what may follow if any one of these regularity conditions fail to hold. "Non-regular estimation" literally means the theory of statistical estimation when some or other of the regularity conditions fail to hold. In this monograph, the authors present a systematic study of the meaning and implications of regularity conditions, and show how the relaxation of such conditions can often lead to surprising conclusions. Their emphasis is on considering small sample results and to show how pathological examples may be considered in this broader framework.

Statistical Estimation And Visualization Of Groundwater Contamination Data

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Author :
language : en
Publisher: DIANE Publishing
Release Date :

Statistical Estimation And Visualization Of Groundwater Contamination Data written by and has been published by DIANE Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Mathematical And Statistical Estimation Approaches In Epidemiology

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Author : Gerardo Chowell
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-06

Mathematical And Statistical Estimation Approaches In Epidemiology written by Gerardo Chowell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-06 with Mathematics categories.

Mathematical and Statistical Estimation Approaches in Epidemiology compiles t- oretical and practical contributions of experts in the analysis of infectious disease epidemics in a single volume. Recent collections have focused in the analyses and simulation of deterministic and stochastic models whose aim is to identify and rank epidemiological and social mechanisms responsible for disease transmission. The contributions in this volume focus on the connections between models and disease data with emphasis on the application of mathematical and statistical approaches that quantify model and data uncertainty. The book is aimed at public health experts, applied mathematicians and sci- tists in the life and social sciences, particularly graduate or advanced undergraduate students, who are interested not only in building and connecting models to data but also in applying and developing methods that quantify uncertainty in the context of infectious diseases. Chowell and Brauer open this volume with an overview of the classical disease transmission models of Kermack-McKendrick including extensions that account for increased levels of epidemiological heterogeneity. Their theoretical tour is followed by the introduction of a simple methodology for the estimation of, the basic reproduction number,R . The use of this methodology 0 is illustrated, using regional data for 1918–1919 and 1968 in uenza pandemics.

Order Statistics And Their Use In Testing And Estimation Estimates Based On Order Statistics Of Samples From Various Populations

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Author : Harman Leon Harter
language : en
Publisher:
Release Date : 1970

Order Statistics And Their Use In Testing And Estimation Estimates Based On Order Statistics Of Samples From Various Populations written by Harman Leon Harter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematical statistics categories.

Sensitivity Uncertainty Analysis Volume 1

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Author : Dan G. Cacuci
language : en
Publisher: CRC Press
Release Date : 2003-05-28

Sensitivity Uncertainty Analysis Volume 1 written by Dan G. Cacuci and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-28 with Mathematics categories.

As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own right. While most techniques used for these analyses are well documented, there has yet to appear a systematic treatment of the method based

Business Statistics

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Author : JANI, P. N.
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2014-09-01

Business Statistics written by JANI, P. N. and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with Business & Economics categories.

The primary objective of this text is to help students to think clearly and critically and apply the knowledge of Business Statistics in decision making when solving business problems. The book introduces the need for quantitative analysis in business and the basic procedures in problem solving. Following an application-based theory approach, the book focuses on data collection, data presentation, summarizing and describing data, basic probability, and statistical inference. A separate chapter is devoted to show how Microsoft Excel can be used to solve problems and to make statistical analyses. It contains specimen Excel Worksheets illustrating how the problems of each chapter are solved using Excel functions and formulas. A large number of real–world business problems from various business professions such as finance, medical, psychology, sociology, and education are also included. This textbook is primarily intended for the undergraduate and postgraduate students of management and postgraduate students of commerce. The text helps students to: • Understand the meaning and use of statistical terms used in business statistics • Use graphical and descriptive statistics to identify the need for statistical inference techniques • Perform statistical analyses • Interpret the results of statistical analyses • Apply statistical inference techniques in business situations • Use computer spreadsheet software to perform statistical analysis on data • Choose the appropriate statistical tool from the collection of standard analytic methods

An Author And Permuted Title Index To Selected Statistical Journals

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Author : Brian L. Joiner
language : en
Publisher:
Release Date : 1970

An Author And Permuted Title Index To Selected Statistical Journals written by Brian L. Joiner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Annals of mathematical statistics categories.

All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.

Density Estimation For Statistics And Data Analysis

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Author : Bernard. W. Silverman
language : en
Publisher: CRC Press
Release Date : 1986-04-01

Density Estimation For Statistics And Data Analysis written by Bernard. W. Silverman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-04-01 with Mathematics categories.

Although there has been a surge of interest in density estimation in recent years, much of the published research has been concerned with purely technical matters with insufficient emphasis given to the technique's practical value. Furthermore, the subject has been rather inaccessible to the general statistician. The account presented in this book places emphasis on topics of methodological importance, in the hope that this will facilitate broader practical application of density estimation and also encourage research into relevant theoretical work. The book also provides an introduction to the subject for those with general interests in statistics. The important role of density estimation as a graphical technique is reflected by the inclusion of more than 50 graphs and figures throughout the text. Several contexts in which density estimation can be used are discussed, including the exploration and presentation of data, nonparametric discriminant analysis, cluster analysis, simulation and the bootstrap, bump hunting, projection pursuit, and the estimation of hazard rates and other quantities that depend on the density. This book includes general survey of methods available for density estimation. The Kernel method, both for univariate and multivariate data, is discussed in detail, with particular emphasis on ways of deciding how much to smooth and on computation aspects. Attention is also given to adaptive methods, which smooth to a greater degree in the tails of the distribution, and to methods based on the idea of penalized likelihood.