Inferential Procedures For The Truncated Exponential Distribution
Abstract
Suppose that X1, X2,…, Xn are independent and identically distributed with density f(x,θ) = [θ(l-e-t/θ)]-1 e-x/θ, 0 ≤ x ≤ t and that inferences about θ are to be made. The exact distribution of U = Σi=nX1 known but is quite complicated and so an approximation to its distribution is needed. It is shown here that the beta approximation for the density of (nt)-1U obtained by equating the first two moments performs better, for moderate n, than the normal approximation given by the central limit theorem and is asymptotically equivalent to it. The use of this approximation in making inferences in some life testing situations is discussed via an example. © 1977, Taylor & Francis Group, LLC. All rights reserved.
Recommended Citation
L. J. Bain et al., "Inferential Procedures For The Truncated Exponential Distribution," Communications in Statistics - Theory and Methods, vol. 6, no. 2, pp. 103 - 111, Taylor and Francis Group; Taylor and Francis, Jan 1977.
The definitive version is available at https://doi.org/10.1080/03610927708827475
Department(s)
Mathematics and Statistics
Second Department
Geosciences and Geological and Petroleum Engineering
Keywords and Phrases
beta approximation; censoring; reliability
International Standard Serial Number (ISSN)
1532-415X; 0361-0926
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 Taylor and Francis Group; Taylor and Francis, All rights reserved.
Publication Date
01 Jan 1977
Comments
National Science Foundation, Grant DAAG29-76-G-0271