Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Annals of Data Science
Published in: Annals of Data Science 1/2020

20-07-2019

A Simple Extension of Burr-III Distribution and Its Advantages over Existing Ones in Modelling Failure Time Data

Authors: Subrata Chakraborty, Laba Handique, Rana Muhammad Usman

Published in: Annals of Data Science | Issue 1/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this article we consider a four parameter extended Burr-III distribution and study some distributional, reliability properties and parameter estimation. Performance of estimation technique used for model parameters estimation is numerically investigated employing Monte Carlo simulation with different sample sizes and parameter values. Efficacy of this distribution in modelling one failure time data is evaluated in comparison to some existing extensions of Bur-III distribution employing well known goodness of fit tests and model selection criteria. Our findings show the proposed distribution as the best among the all the other extensions of Burr-III distribution considered in this study.
previous article The Intertwine of Brain and Body: A Quantitative Analysis on How Big Data Influences the System of Sports
next article Feature Selection Using Diploid Genetic Algorithm

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Aarset MV (1987) How to identify a bathtub hazard rate. IEEE Trans Reliab 36:106–108CrossRef
2.
Alizadeh M, Cordeiro GM, Nascimento AD, Lima MDCS, Ortega EM (2017) Odd-Burr generalized family of distributions with some applications. J Stat Comput Simul 87:367–389CrossRef
3.
Arwa YA, Salwa AM, Lamya AB (2016) Marshall–Olkin extended Burr III distribution. Int Math Forum 11:631–642CrossRef
4.
Behairy SM, AL-Dayian GR, EL-Helbawy AA (2016) The Kumaraswamy-Burr type III distribution: properties and estimation. Br J Math Comput Sci 14:1–21CrossRef
5.
Bjerkedal T (1960) Acquisition of resistance in Guinea pigs infected with different doses of virulent tubercle bacilli. Am J Hyg 72:130–148
6.
7.
Chakraborty S, Handique L (2017) The generalized Marshall–Olkin–Kumaraswamy-G family of distributions. J Data Sci 15:391–422
8.
Coredeiro GM, Gomes AE, da-Silva CQ, Ortega EMM (2017) A useful extension of the Burr III distribution. J Stat Distrib Appl 4:4–24CrossRef
9.
Gomes AE, da-Silva CQ, Cordeiro GM, Ortega EMM (2013) The beta Burr III model for lifetime data. Braz J Probab Stat 27:502–543CrossRef
10.
Gradshteyn IS, Ryzhik IM (2000) Table of integrals, series and products, 6th edn. Academic Press, San Diego
11.
Greenwood JA, Landwehr JM, Matalas NC, Wallis JR (1979) Probability weighted moments: definition and relation to parameters of several distributions expressible in inverse form. Water Resour Res 15:1049–1054CrossRef
12.
Handique L, Usman RM, Chakraborty S (2019) New extended Burr III distribution: its properties and applications. Thailand Statistician (publish soon)
13.
Jamal F, Nasir MA, Tahir MH, Montazeri NH (2017) The odd Burr-III family of distributions. J Stat Appl Probab 6:105–122CrossRef
14.
Prudnikov AP, Brychkov YA, Marichev OI (1992) Integrals and series, vol 4. Gordon and Breach Science Publishers, Amsterdam
Metadata
Title
A Simple Extension of Burr-III Distribution and Its Advantages over Existing Ones in Modelling Failure Time Data
Authors
Subrata Chakraborty
Laba Handique
Rana Muhammad Usman
Publication date
20-07-2019
Publisher
Springer Berlin Heidelberg
Published in
Annals of Data Science / Issue 1/2020
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-019-00227-2

Other articles of this Issue 1/2020

Annals of Data Science 1/2020 Go to the issue

OriginalPaper

The Intertwine of Brain and Body: A Quantitative Analysis on How Big Data Influences the System of Sports

OriginalPaper

A New Family of Lifetime Distributions: Theory, Application and Characterizations

OriginalPaper

Bivariate Weibull Distribution: Properties and Different Methods of Estimation

OriginalPaper

A New Extension of Extended Exponential Distribution with Applications

OriginalPaper

Cubic Transmuted Pareto Distribution

OriginalPaper

Illustration of the Flexibility of Generalized Gamma Distribution in Modeling Right Censored Survival Data: Analysis of Two Cancer Datasets