Asymptotic Statistical Inference

A Basic Course Using R

Inbunden, Engelska, 2021

AvShailaja Deshmukh,Madhuri Kulkarni

1 549 kr

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The book presents the fundamental concepts from asymptotic statistical inference theory, elaborating on some basic large sample optimality properties of estimators and some test procedures. The book also discusses a score test and Wald’s test, their relationship with the likelihood ratio test and Karl Pearson’s chi-square test.

Produktinformation

Utgivningsdatum2021-07-05
Mått155 x 235 x 37 mm
Vikt934 g
FormatInbunden
SpråkEngelska
Antal sidor529
FörlagSpringer Verlag, Singapore
ISBN9789811590023

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Madhuri Kulkarni has been working as an Assistant Professor at the Department of Statistics, Savitribai Phule Pune University since 2003. She has taught a variety of courses in the span of 17 years. The list includes programming languages like C and C++, core statistical courses like probability distributions, statistical inference, regression analysis, and applied statistical courses like actuarial statistics, Bayesian inference, reliability theory. She has been using R for teaching the practical and applied courses for more than a decade. She is a recipient of the prestigious U. S. Nair Young Statistician Award. She has completed research projects for Armament Research and Development Establishment (ARDE), Pune, and has also received core research grant for a research project on software reliability from DST-SERB, India in 2018. She writes regularly in English, Hindi and Marathi in her blog. She also shares the e-content developed by her. Shailaja Deshmukh is a visiting faculty at the Department of Statistics, Savitribai Phule Pune University (formerly known as University of Pune). She was earlier a Professor of Statistics and also Head of the Department of Statistics, before her retirement from the university in November 2015 after thirty eight years of service. She has taught around twenty ﬁve diﬀerent theoretical and applied courses. She worked as a visiting professor at the Department of Statistics, University of Michigan, Ann Arbor, Michigan during 2009-10 academic year. Her areas of interest are inference in stochastic processes, applied probability, actuarial statistics and analysis of microarray data. She has a number of research publications in various peer-reviewed journals, such as Biometrika, Communication in Statistics (Theory and Methods), Journal of Multivariate Analysis, J. R. Statist.Soc. Australian Journal of Statistics, Biometrical Journal, Statistics and Probability Letters, Journal of Applied Statistics, Australian and New Zealand Journal of Statistics, Environmetrics, J. of Statistical Planning and Inference, Naval Research Logistics, Journal of Indian Statistical Association, Stochastic Modelling and Applications, Journal of Translational Medicine, Annals of Institute of Statistical Mathematics. She has published four books, the last of which was 'Multiple Decrement Models in Insurance: An Introduction Using R', published by Springer. She has served as an executive editor and as a chief editor of the Journal of Indian Statistical Association and is an elected member of the international Statistical Institute.

“Every chapter is filled with detailed examples contemplating a large variety of statistical distributions. Each chapter finishes with the formulation of a list of conceptual exercises and another of computational exercises. … Each chapter includes a section with a series of R software procedures designed to illustrate the statistical concepts discussed and establish asymptotic properties, revealing and visually demonstrating some otherwise hidden aspects.” (Annibal Parracho Sant’Anna, zbMATH 1473.62005, 2021)