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KSU Faculty Member websites > محمد قايد محمد عبدالجواد > ArHome > ebook2

 

 

 

 

 

  محاضرات احصاء رياضي                                                    

 

 

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

 

                                 محاضرات احصاء

 

 

  1. Topics 1-6
    • Limits
    • Embedding Sequences
    • Infinite Series
    • Order Relations
    • Continuity
    • Distribution Functions
  2. Topics 7-10
    • Convergence in Probability
    • Regression estimators, sample mean for non-i.i.d sequences
    • Convergence in Law
    • Asymptotic distributions, extreme order statistics
  3. Topics 11-13
    • Uniform convergence
    • Central Limit Theorem, Part I: iid case
    • Taylor 's theorem and the delta method
  4. Topic 14
    • CLT, Part II: Independent but not identically distributed
  5. Topic 15
    • CLT, Part III: Dependent sequences
  6. Topic 16
    • Multivariate notions of convergence
  7. Topics 17-18
    • Joint distributions of extreme order statistics
    • The multivariate normal distribution
  8. Topic 19
    • Sample correlation coefficient
  9. Topics 20-22
    • Change of variables
    • Quantiles
    • Pearson's chi-square statistic
  10. Topics 23-24
    • Power and sample size
    • Asymptotic relative efficiency
  11. Topics 25-26
    • Asymptotic power of Pearson's chi-square test
    • The Wilcoxon Rank-Sum Test
  12. Topics 27-28
    • Maximum likelihood estimation
    • Asymptotic normality of the MLE
  13. Topics 29-33
    • Efficient estimation
    • Fisher information in the multi parameter case
    • Efficient estimation in the multi parameter case
    • Nuisance parameters
    • Wald, score, and likelihood ratio tests
  14. Topics 34-35
    • Statistical functional and V-statistics
    • U-statistics
  15. Topics 36-37
    • Multisampling U-statistics and jointly distributed U-statistics
    • Bootstrapping
 

 

                                    نظرية الاحتمالات

 

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

 

 محاضرات إحصاء تطبيقي

 

 

Preface and Table of Contents

Lectures 1-5

Lectures 6-10

Lectures 11-15

Lectures 16-20

Lectures 21-25

Solutions to Problems

Index

 

                              ماركوف 

             

 

Contents: Front Matter (Preface, Contents, etc.); Heuristics; Markov Models; Transition Probabilities; Irreducibility; Pseudo-atoms; Topology and Continuity; The Nonlinear State Space Model; Transience and Recurrence; Harris and Topological Recurrence; The Existence of pi; Drift and Regularity; Invariance and Tightness; Ergodicity; f-Ergodicity and f-Regularity; Geometric Ergodicity; V-Uniform Ergodicity; Sample Paths and Limit Theorems; Positivity; Generalized Classification Criteria.

PDF file of the whole book (vii + 422 pages, 5.3 Megabytes) 

 

  السلاسل الزمنية                          

 

 

 Contents: Introduction to Series Analysis; Stationary Stochastic Processes; Linear Filters; Fitting ARIMA models; Estimating Spectral Density; Example of time series models; State Space Models and the Kalman filter. PDF file of the whole book

PDF file of the whole Book

 

              بعض الدوال

 

 

Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in: Combinatory; Probability Theory; Statistics; Theory of Markov Chains; Number Theory.

PDF file of the whole book

 

 

 

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