Computational Probability Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Glen, Andrew G. (Editor), Leemis, Lawrence M. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: International Series in Operations Research & Management Science, 247
• Subjects: Business.; Operations research.; Decision making.; Probabilities.; Statistics.; Business and Management.; Operation Research/Decision Theory.; Statistics and Computing/Statistics Programs.; Probability Theory and Stochastic Processes.

This focuses on the developing field of building probability models with the power of symbolic algebra systems. The book combines the uses of symbolic algebra with probabilistic/stochastic application and highlights the applications in a variety of contexts. The research explored in each chapter is...

Table of Contents:

• Accurate Estimation with One Order Statistic
• On the Inverse Gamma as a Survival Distribution
• Order Statistics in Goodness-of-Fit Testing
• The "Straightforward" Nature of Arrival Rate Estimation?
• Survival Distributions Based on the Incomplete Gamma Function Ratio
• An Inference Methodology for Life Tests with Full Samples or Type II Right Censoring
• Maximum Likelihood Estimation Using Probability Density Functions of Order Statistics
• Notes on Rank Statistics
• Control Chart Constants for Non-Normal Sampling
• Linear Approximations of Probability Density Functions
• Univariate Probability Distributions
• Moment-Ratio Diagrams for Univariate Distributions
• The Distribution of the Kolmogorov-Smirnov, Cramer-von Mises, and Anderson-Darling Test Statistics for Exponential Populations with Estimated Parameters
• Parametric Model Discrimiation for Heavily Censored Survival Data
• Lower Confidence Bounds for System Reliability from Binary Failure Data Using Bootstrapping. .