Course in Large Sample Theory

Name: Course in Large Sample Theory
Price: 106.49 USD
Availability: InStock
ISBN: 9780412043710

ISBN-10: 0412043718

ISBN-13: 9780412043710

Edition: 1996

Authors: Thomas S. Ferguson

List price: $150.00

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Description:

Presented in four parts, this book provides a complete picture of genome statistics. The first treats basic probabilistic notions, the second features the basic statistical tools for expanding the theory, the third contains special topics as applications of the general theory, and the fourth covers more standard statistical topics. Nearly all topics are covered in their multivariate setting. The book is ideal for a first year graduate course in large sample theory for statisticians. It has been used by graduate students in statistics, biostatistics, mathematics, and related fields. Throughout the book there are many examples and exercises with solutions, making it an ideal text for self…

Book details

List price: $150.00
Copyright year: 1996
Publisher: CRC Press LLC
Publication date: 7/1/1996
Binding: Paperback
Pages: 256
Size: 6.25" wide x 9.50" long x 0.50" tall
Weight: 1.078
Language: English



Preface



Basic Probability



Modes of Convergence



Partial Converses to Theorem 1



Convergence in Law



Laws of Large Numbers



Central Limit Theorems



Basic Statistical Large Sample Theory



Slutsky Theorems



Functions of the Sample Moments



The Sample Correlation Coefficient



Pearson's Chi-Square



Asymptotic Power of the Pearson Chi-Square Test



Special Topics



Stationary m-Dependent Sequences



Some Rank Statistics



Asymptotic Distribution of Sample Quantiles



Asymptotic Theory of Extreme Order Statistics



Asymptotic Joint Distributions of Extrema



Efficient Estimation and Testing



A Uniform Strong Law of Large Numbers



Strong Consistency of Maximum-Likelihood Estimates



Asymptotic Normality of the Maximum-Likelihood Estimate



The Cramer-Rao Lower Bound



Asymptotic Efficiency



Asymptotic Normality of Posterior Distributions



Asymptotic Distribution of the Likelihood Ratio Test Statistic



Minimum Chi-Square Estimates



General Chi-Square Tests


Appendix: Solutions to the exercises


References


Index