Shortest confidence and prediction intervals for the log‐normal | Zendy

Dahiya Ram C. | Zendy; Guttman Irwin | Zendy

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Shortest confidence and prediction intervals for the log‐normal

Author(s) -

Dahiya Ram C.,

Guttman Irwin

Publication year - 1982

Publication title -

canadian journal of statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.804

H-Index - 51

eISSN - 1708-945X

pISSN - 0319-5724

DOI - 10.2307/3556194

Subject(s) - confidence interval , statistics , variance (accounting) , mathematics , interval (graph theory) , robust confidence intervals , normal distribution , prediction interval , cdf based nonparametric confidence interval , credible interval , combinatorics , accounting , business

We provide the shortest prediction interval for X , and the shortest confidence interval for the median of X , when X has the log‐normal distribution for both the case σ 2 , the variance of log X , known and unknown. Tables are given to assist the practitioner in constructing these intervals. A real‐life example is provided to illustrate the results.

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