Warranty claims as marked point processes

Boyan N. Dimitrov; Stefanka Chukova; Ventseslav Rumchev

Warranty claims as marked point processes

Boyan N. Dimitrov, Stefanka Chukova, Ventseslav Rumchev

Kettering University

Research output: Contribution to journal › Article › peer-review

Abstract

An unified study of total warranty expenses generated by sold items of the same kind is developed. It uses a representation of the warranty expenses as a marked point process. Particular results are obtained for non-stationary Poisson purchase process with periodic intensity function. Numerical and graphical examples Illustrate the common behavior of important warranty cost characteristics as functions of the time.

Original language	American English
Journal	Nonlinear Analysis: Theory, Methods Applications
Volume	47
State	Published - Aug 1 2001

Keywords

Accumulated risk processes
periodic failure rate
warranty analysis

Disciplines

Mathematics

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https://www.sciencedirect.com/science/article/pii/S0362546X01003406

Cite this

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title = "Warranty claims as marked point processes",

abstract = " An unified study of total warranty expenses generated by sold items of the same kind is developed. It uses a representation of the warranty expenses as a marked point process. Particular results are obtained for non-stationary Poisson purchase process with periodic intensity function. Numerical and graphical examples Illustrate the common behavior of important warranty cost characteristics as functions of the time.",

keywords = "Accumulated risk processes, periodic failure rate, warranty analysis",

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year = "2001",

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T1 - Warranty claims as marked point processes

AU - Dimitrov, Boyan N.

AU - Chukova, Stefanka

AU - Rumchev, Ventseslav

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N2 - An unified study of total warranty expenses generated by sold items of the same kind is developed. It uses a representation of the warranty expenses as a marked point process. Particular results are obtained for non-stationary Poisson purchase process with periodic intensity function. Numerical and graphical examples Illustrate the common behavior of important warranty cost characteristics as functions of the time.

AB - An unified study of total warranty expenses generated by sold items of the same kind is developed. It uses a representation of the warranty expenses as a marked point process. Particular results are obtained for non-stationary Poisson purchase process with periodic intensity function. Numerical and graphical examples Illustrate the common behavior of important warranty cost characteristics as functions of the time.

KW - Accumulated risk processes

KW - periodic failure rate

KW - warranty analysis

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/42

UR - https://www.sciencedirect.com/science/article/pii/S0362546X01003406

M3 - Article

VL - 47

JO - Nonlinear Analysis: Theory, Methods Applications

JF - Nonlinear Analysis: Theory, Methods Applications

ER -

Warranty claims as marked point processes

Abstract

Keywords

Disciplines

Access to Document

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Cite this