On Some Inequalities and Monotonicity Properties with Special Reference to Selection and Ranking Problems.
Abstract
Inequalities play a fundamental role in nearly all branches of mathematics -- especially so in probability and statistics. The impact of basic inequalities such as those that carry the names of Cauchy-Schwarz, Chebyshev, Cramer-Rao, and Bonferroni in statistics is well known. Inequalities have been profitably used to obtain bounds for probabilities that are more tedious to compute or analytically impossible to handle. Especially in reliability problems, the limited assumptions that could be made about the nature of the life distributions of the components of a system as well as the structure of the system itself render inequalities pervades through nearly all branches of mathematics, significant contributions have been made by a very large number of researchers whose efforts span well over a century. From time to time, books and monographs have been written which are completely devoted to inequalities.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1982
- Accession Number
- ADA121451
Entities
People
- Deng Yuang Huang
- S. Panchapakesan
- Shanti Gupta
Organizations
- Purdue University