Journal ArticleDOI
Convergence of Known Distributions to Limiting Normal or Non-Normal Distributions: An Elementary Ratio Technique
Subhash C. Bagui,K. L. Mehra +1 more
Reads0
Chats0
TLDR
In this article, an elementary informal technique for deriving the convergence of known distributions to limiting normal or non-normal distributions is presented, which is of interest to teachers and students of first year graduate level courses in probability and statistics.Abstract:
This article presents an elementary informal technique for deriving the convergence of known distributions to limiting normal or non-normal distributions. The presentation should be of interest to teachers and students of first year graduate level courses in probability and statistics.read more
Citations
More filters
Journal ArticleDOI
The History of Statistics. The Measurement of Uncertainty before 1900.
TL;DR: The History of StatisticsThe history of Statistics in the 17th and 18th CenturiesThe Politics of Large NumbersStatistics on the TableFiguring Out The PastDicing with DeathHow to Lie with StatisticsAnnotated Readings in the History of statistics.
Journal ArticleDOI
On an elementary ratio technique for proving convergence of known distributions
Subhash C. Bagui,K. L. Mehra +1 more
TL;DR: In this paper, the convergence of binomial B(n,p) distribution to a limiting normal as the number n of trials increases to infinity was studied. But the convergence was not shown to be linear in the number of trials.
Journal Article
On the Convergence of Negative Binomial Distribution
Subhash C. Bagui,K. L. Mehra +1 more
TL;DR: In this paper, four different methods of proof of convergence of negative binomial NB(n, p) distribution to a normal distribution are presented, and the reader should find the presentation enlightening and worthwhile from a pedagogical viewpoint.
References
More filters
Journal ArticleDOI
An Introduction to Probability Theory and Its Applications.
Book
An introduction to probability theory
TL;DR: The authors introduce probability theory for both advanced undergraduate students of statistics and scientists in related fields, drawing on real applications in the physical and biological sciences, and make probability exciting." -Journal of the American Statistical Association
Journal ArticleDOI
An Introduction to Probability Theory
J. F. C. Kingman,P. A. P. Moran +1 more
TL;DR: This classic text and reference introduces probability theory for both advanced undergraduate students of statistics and scientists in related fields, drawing on real applications in the physical and biological sciences.
Book
The History of Statistics: The Measurement of Uncertainty before 1900
TL;DR: This chapter discusses the development of Mathematical Statistics in Astronomy and Geodesy before 1827 and some of the ideas behind Laplace's Rescue of the Solar System.