Accession Number : ADA132723

Title :   Informative Quantile Functions and Identification of Probability Distribution Types.

Descriptive Note : Technical rept.,

Corporate Author : TEXAS A AND M UNIV COLLEGE STATION DEPT OF STATISTICS

Personal Author(s) : Parzen,Emanuel

PDF Url : ADA132723

Report Date : Aug 1983

Pagination or Media Count : 39

Abstract : A problem of great importance to statistical data analysts is quick identification of possible probability distributions for observed data, and classification of tail behavior of probability distributions. This paper discusses the informative quantile function IQ(u) = (Q(u) - Q(0.5)) divided by 2(Q(0.75) - Q(0.25)), and its use to identify probability models for observed data and its use to provide concepts of representative distributions which illustrate the different types of shapes and tail behavior that real distributions can have. This paper also discusses estimators of tail exponents; they can be used to identify outlying data values, and more centrally to identify possible distributions to fit to data. (Author)

Descriptors :   *Probability distribution functions, *Statistical data, *Statistical analysis, Identification, Classification, Observation, Random variables, Mathematical models, Tables(Data), Value

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE