When and Where to Use Probability Distributions with Periodic Failure Rates

Boyan N. Dimitrov

When and Where to Use Probability Distributions with Periodic Failure Rates

Boyan N. Dimitrov

Kettering University

Research output: Contribution to conference › Presentation

Abstract

We discuss situations in real life where probability distributions with periodic failure rates should be considered. This discussion leads us to a new class, called Almost-Lack-of-Memory (ALM) probability distributions. We explain the structure of these distributions, and list some of their important properties. One of the main properties is its periodic failure rate. Throughout this article we notice some areas of possible applications of these distributions, and relate applications to the properties of these distributions.

Original language	American English
State	Published - Jun 22 2016
Event	ALT2016 : 6th International conference on Accelerated Life Testing and Degradation Models - Duration: Jun 22 2016 → …

Conference

Conference	ALT2016 : 6th International conference on Accelerated Life Testing and Degradation Models
Period	6/22/16 → …

Keywords

ALM class of probability distributions
Periodic failure rate functions
Non-homogeneous Poisson Proces
periodic random environment

Disciplines

Mathematics

Access to Document

https://alt2016.sciencesconf.org/110990/document

Cite this

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title = "When and Where to Use Probability Distributions with Periodic Failure Rates",

abstract = " We discuss situations in real life where probability distributions with periodic failure rates should be considered. This discussion leads us to a new class, called Almost-Lack-of-Memory (ALM) probability distributions. We explain the structure of these distributions, and list some of their important properties. One of the main properties is its periodic failure rate. Throughout this article we notice some areas of possible applications of these distributions, and relate applications to the properties of these distributions.",

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AU - Dimitrov, Boyan N.

PY - 2016/6/22

Y1 - 2016/6/22

N2 - We discuss situations in real life where probability distributions with periodic failure rates should be considered. This discussion leads us to a new class, called Almost-Lack-of-Memory (ALM) probability distributions. We explain the structure of these distributions, and list some of their important properties. One of the main properties is its periodic failure rate. Throughout this article we notice some areas of possible applications of these distributions, and relate applications to the properties of these distributions.

AB - We discuss situations in real life where probability distributions with periodic failure rates should be considered. This discussion leads us to a new class, called Almost-Lack-of-Memory (ALM) probability distributions. We explain the structure of these distributions, and list some of their important properties. One of the main properties is its periodic failure rate. Throughout this article we notice some areas of possible applications of these distributions, and relate applications to the properties of these distributions.

KW - ALM class of probability distributions

KW - Periodic failure rate functions

KW - Non-homogeneous Poisson Proces

KW - periodic random environment

UR - https://digitalcommons.kettering.edu/mathematics_conference/30

UR - https://alt2016.sciencesconf.org/110990/document

M3 - Presentation

T2 - ALT2016 : 6th International conference on Accelerated Life Testing and Degradation Models

Y2 - 22 June 2016

ER -

When and Where to Use Probability Distributions with Periodic Failure Rates

Abstract

Conference

Keywords

Disciplines

Access to Document

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Cite this