The Annals of Mathematical Statistics

Joint Distributions of Time Intervals for the Occurrence of Successive Accidents in a Generalized Polya Scheme

Grace E. Bates

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Abstract

The main body of this paper has two rather distinct parts, the first part (Section 2) containing the derivation of an explicit representation for the joint distribution of accident times in quite a general situation, and the remainder of the paper dealing with a very special case which leads to a discussion of testing the hypothesis that a distribution is uniform over (0, 1) against alternatives which are exponential truncated to (0, 1). The second part may be read profitably with little reference to the probabilistic arguments of Section 2.

Article information

Source
Ann. Math. Statist., Volume 26, Number 4 (1955), 705-720.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177728429

Digital Object Identifier
doi:10.1214/aoms/1177728429

Mathematical Reviews number (MathSciNet)
MR76265

Zentralblatt MATH identifier
0067.37501

JSTOR
links.jstor.org

Citation

Bates, Grace E. Joint Distributions of Time Intervals for the Occurrence of Successive Accidents in a Generalized Polya Scheme. Ann. Math. Statist. 26 (1955), no. 4, 705--720. doi:10.1214/aoms/1177728429. https://projecteuclid.org/euclid.aoms/1177728429


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