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Fundamentals Of Testing Statistical Hypotheses

by A. Santhakumaran
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Current price ₹228.00
Original price ₹350.00
Original price ₹350.00
Original price ₹350.00
(-35%)
₹228.00
Current price ₹228.00

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Book cover type: Hardcover
  • ISBN13: 9788126900442
  • Binding: Hardcover
  • Subject: Mathematics and Statistics
  • Publisher: Atlantic Publishers & Distributors (P) Ltd
  • Publisher Imprint: Atlantic
  • Publication Date:
  • Pages: 152
  • Original Price: INR 350.0
  • Language: English
  • Edition: N/A
  • Item Weight: 150 grams

This book covers the fundamentals of testing of statistical hypotheses. It presents the concepts, techniques and applications of hypotheses testing and equips the reader with ability to apply to various real life problems. The book is based on the author's long experience of teaching the subject. The book will be useful for students and teachers of undergraduate and postgraduate classes. It will also be helpful for candidates appearing in competitive examination like ISS, UGC, SLET etc. Salient Features of the book are : • Properly graded and solved problems to illustrate each concept and procedure are presented in the text. • Selected problems, university questions and questions, including those of objective types, of various competitive examinations are added at the end of each chapter. • Statistical table values are obtained using C language. • Provides conceptual clarity, simplicity and uptodate materials.

A. SANTHAKUMARAN is a Reader in Statistics at Salem Sowdeswari College, Salem, Tamil Nadu. He holds a Ph.D. in Statistics from the Ramanujan Institute of Advanced Study in Mathematics, University of Madras. He has to his credit over 15 research papers.

  • 1. BASIC PRINCIPLES
  • 1.1 Introduction
  • 1.2 Test Procedure
  • 1.3 Non-Randomized Test
  • 1.4 Randomized Test
  • 1.5 Choosing a Test
  • 1.6 Most Powerful Test is not Unique
  • 1.7 Monotone Class of Tests
  • 1.8 Geometrical Representation
  • 1.9 Optimum Test
  • 1.10 Uniformly Most Powerful Test
  • 2. METHOD OF OBTAINING THE BEST TEST
  • 2.1 Introduction
  • 2.2 Neyman Pearson Lemma
  • 3. APPLICATIONS OF NEYMAN PEARSON LEMMA
  • 3.1 Introduction
  • 3.2 Monotone Likelihood Ratio Property
  • 3.3 Locally Most Powerful Test
  • 3.4 Optimum Property of Locally Most Powerful Test
  • 4. APPLICATIONS OF GENERALIZED NEYMAN PEARSON LEMMA
  • 4.1 Introduction
  • 4.2 Generalized Neyman Pearson Lemma
  • 4.3 Unbiased Test
  • 4.4 Uniformly Most Powerful Unbiased Test
  • 4.5 Locally Most Powerful Unbiased Test
  • 5. NEYMAN-STRUCTURE TEST
  • 5.1 Introduction
  • 5.2 Similar Test
  • 5.3 Construction of Similar Test
  • 5.4 Neyman-Structure Test
  • Appendix
  • References

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