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Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications
-
Kanichukattu Korakutty Jose
and
Rani Sebastian
Published/Copyright:
February 3, 2014
Abstract
In this paper a new bivariate distribution called Marshall–Olkin–Morgenstern-bivariate-Weibull distribution is introduced and studied. Two different models of minification processes with the above bivariate distribution as stationary marginal distribution are developed. It is shown that the process is strictly stationary. The properties of the process are derived. The expressions for reliability under stress-strength analysis when the components are in series and parallel are obtained. The process is extended to pth order as well as k-variate cases.
Keywords: Minification Process; Marshall–Olkin–Bivariate-Weibull Distribution; Stationary Process; Stress-Strength Analysis; Reliability
Received: 2011-5-9
Published Online: 2014-2-3
Published in Print: 2013-12-1
©2014 Walter de Gruyter Berlin/Boston
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Keywords for this article
Minification Process;
Marshall–Olkin–Bivariate-Weibull Distribution;
Stationary Process;
Stress-Strength Analysis;
Reliability
Articles in the same Issue
- Frontmatter
- Assessment of Traditional Demerits and a New Ordinal Alternative
- Acceptance Sampling Plans Under Truncated Life Tests Assuming a Half Exponential Power Life Distribution
- Comparison of Lower Bounds for the Variance of Unbiased Estimators for some Well-known Families of Distributions
- Order k Version of the Alternative Hyper-Poisson Distribution
- Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications
- X̅ Charts with Variable Control and Warning Limits
- Transmuted Generalized Inverted Exponential Distribution
- Selection of modified quick switching systems for given acceptable and limiting quality levels with minimum risks using weighted poisson distribution
- Multivariate Process Capability Index: A Review and Some Results
- Selection of Bayesian Single Sampling Plans by Attributes with Desired Discrimination
