nach oben

Annals of Data Science

Erschienen in:

04.08.2018

The Generalized Burr XII Power Series Distributions with Properties and Applications

verfasst von: Ibrahim Elbatal, Emrah Altun, Ahmed Z. Afify, Gamze Ozel

Erschienen in: Annals of Data Science | Ausgabe 3/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

We define and study a new family of distributions, called generalized Burr XII power series class, by compounding the generalized Burr XII and power series distributions. Several properties of the new family are derived. The maximum likelihood estimation method is used to estimate the model parameters. The importance and potentiality of the new family are illustrated by means of three applications to real data sets.

Vorheriger Artikel On Three Parameter Discrete Generalized Inverse Weibull Distribution: Properties and Applications

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren

Afify AZ, Cordeiro GM, Ortega EMM, Yousof HM, Butt NS (2018) The four-parameter Burr XII distribution: properties, regression model and applications. Commun Stat Theory Methods 47:2605–2624CrossRef

Adamidis K, Loukas S (1998) A lifetime distribution with decreasing failure rate. Stat Probab Lett 39:35–42CrossRef

Andrews DF, Herzberg AM (1985) Data: a collection of problems from many fields for the student and research worker. Springer, New YorkCrossRef

Barreto-Souza W, Morais AL, Cordeiro GM (2010) The Weibull-geometric distribution. J Stat Comput Simul 81:645–657CrossRef

Bjerkedal T (1960) Acquisition of resistance in Guinea pigs infected with different doses of virulent tubercle bacilli. Am J Hyg 72:130–148

Bonferroni CE (1930) Elmenti di statistica generale. Libreria Seber, Firenze

Bourguignon M, Silva RB, Cordeiro GM (2014) A new class of fatigue life distributions. J Stat Comput Simul 84(12):2619–2635CrossRef

Chahkandi M, Ganjali M (2009) On some lifetime distributions with decreasing failure rate. Comput Stat Data Anal 53:4433–4440CrossRef

Coorner F, Banerjee S, Carlin BP, Sinha D (2007) Flexible cure rate modeling under latent activation schemes. J Am Stat Assoc 102:560–572CrossRef

10.

Gradshteyn IS, Rhyzik IM (2000) Table of integrals, series, and products, 6th edn. Academic Press, San Diego

11.

Gupta RC (1981) On the mean residual life function in survival studies. Stat Distrib Sci Work 5:327–334

12.

Gupta RC, Gupta PL (2000) On the crossing of reliability measures. Stat Probab Lett 46:301–305CrossRef

13.

Johnson NL, Kemp AW, Kotz S (2005) Univariate discrete distributions, 3rd edn. Wiley, HobokenCrossRef

14.

Kundu C, Nanda AK (2010) Some reliability properties of the inactivity time. Commun. Stat. Theory Methods 39:899–911CrossRef

15.

Kus C (2007) A new lifetime distribution. Comput Stat Data Anal 51:4497–4509CrossRef

16.

Lu W, Shi D (2012) A new compounding life distribution: the Weibull–Poisson distribution. J Appl Stat 39:21–38CrossRef

17.

Mahmoudi E, Jafari AA (2012) Generalized exponential power series distributions. Comput Stat Data Anal 56:4047–4066CrossRef

18.

Mi J (1996) Minimizing some cost functions related to both burn-in and field use. Oper Res 49:497–500CrossRef

19.

Morais AL, Barreto-Souza W (2011) A compound family of Weibull and power series distributions. Comput Stat Data Anal 55:1410–1425CrossRef

20.

Murthy DNP, Xie M, Jiang R (2004) Weibull models, Wiley series in probability and statistics. Wiley, New York

21.

Nanda AK, Singh H, Misra N, Paul P (2003) Reliability properties of reversed residual lifetime. Commun Stat Theory Methods 32(10):2031–2042CrossRef

22.

Noack A (1950) A class of random variables with discrete distributions. Ann Math Stat 21:127–132CrossRef

23.

Peck DS, Zierdt CH (1974) The reliability of semiconductor devices in the bell system. Proc IEEE 62:185–211CrossRef

24.

Prudnikov AP, Brychkov YA, Marichev OI (1986) Integrals and series, 1. Gordon and Breach Science Publishers, Amsterdam

25.

Prudnikov AP, Brychkov YA, Marichev OI (1992) Integrals and series, 4. Gordon and Breach Science Publishers, Amsterdam

26.

Rodrigues C, Cordeiro GM, Demetrio CGB, Ortega EMM (2011) The Weibull negative binomial distribution. Adv Appl Stat 22(1):22–55

27.

Silva RB, Bourguignon M, Dias CRB, Cordeiro GM (2013) The compound family of extended Weibull power series distributions. Comput Stat Data Anal 58:352–367CrossRef

28.

Silva RB, Cordeiro GM (2015) The Burr XII power series distributions: a new compounding family. Braz J Probab Stat 29:565–589CrossRef

29.

Tahmasbi R, Rezaei S (2008) A two-parameter lifetime distribution with decreasing failure rate. Comput Stat Data Anal 52:3889–3901CrossRef

30.

Wang M (2013) A new three-parameter lifetime distribution and associated inference. arXiv:1308.4128v1 [stat.ME]

Titel: The Generalized Burr XII Power Series Distributions with Properties and Applications
verfasst von: Ibrahim Elbatal
Emrah Altun
Ahmed Z. Afify
Gamze Ozel
Publikationsdatum: 04.08.2018
Verlag: Springer Berlin Heidelberg
Erschienen in: Annals of Data Science / Ausgabe 3/2019
Print ISSN: 2198-5804
Elektronische ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-018-0171-2

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 3/2019

The Exponentiated Generalized Marshall–Olkin Family of Distribution: Its Properties and Applications

On the Beta-G Poisson Family

Treatment Effect Decomposition and Bootstrap Hypothesis Testing in Observational Studies

A Primer on a Flexible Bivariate Time Series Model for Analyzing First and Second Half Football Goal Scores: The Case of the Big 3 London Rivals in the EPL

A New Generalization of the Extended Exponential Distribution with an Application

Exponentiated Generalized Power Series Family of Distributions