EXTREME POINTS OF THE CLASS OF DISCRETE DECREASING FAILURE RATE LIFE DISTRIBUTIONS.

Naftali A. Langberg; Ramon V. Leon; James Lynch; Frank Proschan

doi:10.1287/moor.5.1.35

EXTREME POINTS OF THE CLASS OF DISCRETE DECREASING FAILURE RATE LIFE DISTRIBUTIONS.

Naftali A. Langberg, Ramon V. Leon, James Lynch, Frank Proschan

Department of Statistics

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

Abstract

It is shown that the class of discrete decreasing failure rate (DFR) life distributions is a convex class. The authors then obtain the extreme points of this class. Also shown is a method to represent any discrete DFR distribution as a mixture of these extreme points.

Original language	English
Pages (from-to)	35-42
Number of pages	8
Journal	Mathematics of Operations Research
Volume	5
Issue number	1
DOIs	https://doi.org/10.1287/moor.5.1.35
State	Published - 1980

ASJC Scopus subject areas

General Mathematics
Computer Science Applications
Management Science and Operations Research

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@article{403f1c9f7e5b4c32adb44736cc5f9993,

title = "EXTREME POINTS OF THE CLASS OF DISCRETE DECREASING FAILURE RATE LIFE DISTRIBUTIONS.",

abstract = "It is shown that the class of discrete decreasing failure rate (DFR) life distributions is a convex class. The authors then obtain the extreme points of this class. Also shown is a method to represent any discrete DFR distribution as a mixture of these extreme points.",

author = "Langberg, {Naftali A.} and Leon, {Ramon V.} and James Lynch and Frank Proschan",

year = "1980",

doi = "10.1287/moor.5.1.35",

language = "English",

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journal = "Mathematics of Operations Research",

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AU - Leon, Ramon V.

AU - Lynch, James

AU - Proschan, Frank

PY - 1980

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N2 - It is shown that the class of discrete decreasing failure rate (DFR) life distributions is a convex class. The authors then obtain the extreme points of this class. Also shown is a method to represent any discrete DFR distribution as a mixture of these extreme points.

AB - It is shown that the class of discrete decreasing failure rate (DFR) life distributions is a convex class. The authors then obtain the extreme points of this class. Also shown is a method to represent any discrete DFR distribution as a mixture of these extreme points.

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DO - 10.1287/moor.5.1.35

M3 - Article

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SN - 0364-765X

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JO - Mathematics of Operations Research

JF - Mathematics of Operations Research

IS - 1

ER -

EXTREME POINTS OF THE CLASS OF DISCRETE DECREASING FAILURE RATE LIFE DISTRIBUTIONS.

Abstract

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