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On a characterization of the exponential distribution by spacings [PDF]
Annals of the Institute of Statistical Mathematics, 1978 Let X1, X2, ···, Xn be a random sample of size n from a population with probability density function f(x), x > 0, and let X1, n < X2, n < ··· < Xn, n be the associated order statistics. A characterization of the exponential distribution is shown by considering identical distribution of the random variables (n − i + 1)(Xi, n − Xi−1, n) and ...
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Estimation in the Exponential Distribution
Technometrics, 1973This note is concerned with estimation in the two parameter exponential distribution using a variation of the ordinary method of moments in which the second order moment estimating equation is replaced with an equation involving expected value of the first. order statistic.
A. Clifford Cohen +1 more
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The exponentiated exponential distribution: a survey
AStA Advances in Statistical Analysis, 2011The exponentiated exponential distribution, a most attractive generalization of the exponential distribution, introduced by Gupta and Kundu (Aust. N. Z. J. Stat. 41:173–188, 1999) has received widespread attention. It appears, however, that many mathematical properties of this distribution have not been known or have not been known in simpler/general ...
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Acceptance sampling plans based on truncated life tests for weighted exponential distribution
Communications in statistics. Simulation and computation, 2017Gupta and Kundu proposed a new class of weighted exponential distributions using the idea of Azzalini. In this article, we develop an acceptance sampling plan for the weighted exponential distribution under a truncated life test.
Wenhao Gui, M. Aslam
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Family of Exponentiated Exponential Distribution
2015As was mentioned, in Chap. 1, that Gompertz (1825) raised the extreme value distribution to a positive parameter. Verhulst (1847) introduced the following CDF of a random variable X.
Essam K. AL-Hussaini +1 more
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A Multivariate Exponential Distribution
Journal of the American Statistical Association, 1967Abstract A number of multivariate exponential distributions are known, but they have not been obtained by methods that shed light on their applicability. This paper presents some meaningful derivations of a multivariate exponential distribution that serves to indicate conditions under which the distribution is appropriate.
Ingram Olkin, Albert W. Marshall
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An exponentiated exponential binomial distribution with application
Statistics & Probability Letters, 2012Abstract A new continuous distribution is introduced by compounding exponentiated exponential and binomial distributions, named as exponentiated exponential binomial (EEB) distribution. This distribution has the ability to model lifetime data with increasing, decreasing and upside-down bathtub shaped failure rates.
Hassan S. Bakouch +4 more
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Inference of bivariate generalized exponential distribution based on copula functions
, 2017The generalized exponential (GE) distribution is an important lifetime distribution in survival analysis. It is considered as a suitable alternative to the most common lifetime distributions such as gamma and Weibull distributions.
L. A. Turk, M. A. Elaal, Rehab S. Jarwan
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On Poisson Moment Exponential Distribution with Applications
Annals of Data Science, 2022Muhammad Ahsan-ul-Haq
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