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Topics in statistical methodology / Suddhendu Biswas ; editorial assistance, Vijay Kumar Sehgal.

By: Contributor(s): Material type: TextTextPublication details: New Delhi : Wiley Eastern Limited, 1991.Description: xvi, 611 p. : ill. ; 24 cmISBN:
  • 812240247X (pbk.)
Subject(s): DDC classification:
  • 519.5 BIS 23 004103
Contents:
1. Probabilistic Foundation of Mathematical Statistics 2. Functions of Random Variables, Expectations and Limit Theorems 3. Discrete Probability Distributions 4. Absolutely Continuous Distributions 5. Basic Statistical Inference and the Censoring Techniques 6. Bivariate Distribution, Regression and Correlation Analysis 7. Multinomial Distribution, Pearsonian [actual symbol not reproducible] and Transformation of Statistics 8. Sampling Distribution Appendix A-1 Rieman-Steiltjes Integral Appendix A-2 Laplace Transform Appendix A-3 Analysis of Variance.
Summary: The text book covers all traditional as well as newly emerging topics in Statistical Methodology. A broad general description of the book consists of (i) a lucid presentation to the motivation of the modern axiomatic approach to Probability; (ii) study of all major distributions (inclusive of Circular, Log-normal Singular) with new interpretations of some distributions (ex. Pareto, Logistic etc.); (iii) model oriented approach to the generations of Normal, Log-normal, Cauchy, Exponential, Gamma and other waiting distributions and their characterizations; (iv) techniques of Truncated and Censored distributions vis-a-vis Parametric, Non-Parametric, Bayesian and Sequential Inference Procedures, the background of which have been provided; and (v) inclusion of classical topics as Pearsonian Curves, Gram-Charlier Series and orthogonal polynomials. Some of the distinguishing features are as follows: introducing the concept of 'correlation' as a milestone in the development of regression theory; a large number of solved examples and a wide collection of unsolved problems with occasional hints; and a geometrical treatment of Non-central X[superscript 2].
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Item type Current library Call number Status Date due Barcode
Book Book Indian Institute for Human Settlements, Bangalore 519.5 BIS 004103 (Browse shelf(Opens below)) Available 004103

Includes bibliographical references (p. [597]-601 and index.

1. Probabilistic Foundation of Mathematical Statistics
2. Functions of Random Variables, Expectations and Limit Theorems
3. Discrete Probability Distributions
4. Absolutely Continuous Distributions
5. Basic Statistical Inference and the Censoring Techniques
6. Bivariate Distribution, Regression and Correlation Analysis
7. Multinomial Distribution, Pearsonian [actual symbol not reproducible] and Transformation of Statistics
8. Sampling Distribution
Appendix A-1 Rieman-Steiltjes Integral
Appendix A-2 Laplace Transform
Appendix A-3 Analysis of Variance.

The text book covers all traditional as well as newly emerging topics in Statistical Methodology. A broad general description of the book consists of (i) a lucid presentation to the motivation of the modern axiomatic approach to Probability; (ii) study of all major distributions (inclusive of Circular, Log-normal Singular) with new interpretations of some distributions (ex. Pareto, Logistic etc.); (iii) model oriented approach to the generations of Normal, Log-normal, Cauchy, Exponential, Gamma and other waiting distributions and their characterizations; (iv) techniques of Truncated and Censored distributions vis-a-vis Parametric, Non-Parametric, Bayesian and Sequential Inference Procedures, the background of which have been provided; and (v) inclusion of classical topics as Pearsonian Curves, Gram-Charlier Series and orthogonal polynomials.
Some of the distinguishing features are as follows: introducing the concept of 'correlation' as a milestone in the development of regression theory; a large number of solved examples and a wide collection of unsolved problems with occasional hints; and a geometrical treatment of Non-central X[superscript 2].

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