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An Alternative Simple Proof of a Result Useful in Reliability Shock Models
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M. Z. Anis
Published/Copyright:
March 15, 2010
Abstract
In this paper, we present a simple proof of a result, which has useful applications in the context of shock models that are important in reliability theory. Though the result can be easily proved using properties of totally positive functions, we introduce a new idea which enables us to provide a proof that utilizes only elementary techniques of real variable calculus.
Keywords:: Totally positive functions; Survival function; Convex functions; Mathematical induction; Homogeneous Poisson process
Published Online: 2010-03-15
Published in Print: 2005-October
© Heldermann Verlag
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Keywords for this article
Totally positive functions;
Survival function;
Convex functions;
Mathematical induction;
Homogeneous Poisson process
Articles in the same Issue
- 2005 - The Jakob Bernoulli Year 350th Anniversary of Jakob's Birth and 300th Anniversary of Jakob's Death
- Six Sigma the “Breakthrough Management Strategy”?
- Determining the Parameters of a Multinomial Distribution: The Fiducial Approach
- Some Group Inspection Based Multi-Attribute Control Charts to Identify Process Deterioration
- On Cumulative Conforming Type of Control Charts for High Quality Processes Under Sampling Inspection
- Monitoring Process Mean and Process Variance Using Collani's Statistic
- Ratio of Logistic and Bessel Random Variables
- Weibull Extension of a Bivariate Exponential Regression Model
- Weighted Least Squares Estimators for a Change-Point
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- An Alternative Simple Proof of a Result Useful in Reliability Shock Models
- Draft International Standard ISO/DIS 2210: Milk and Milk Products
