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 4/2018

02-05-2018

Exponentiated Power Lindley Logarithmic: Model, Properties and Applications

Authors: A. Shabani, M. Khaleghi Moghadam, A. Gholami, E. Moradi

Published in: Annals of Data Science | Issue 4/2018

Log in

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

search-config
loading …

Abstract

A new class of lifetime distributions is proposed. Closed form expressions are provided for the density, cumulative distribution, survival and hazard rate functions. Maximum likelihood estimation is discussed and formulas for the elements of the observed information matrix are provided. Simulation studies are conducted. Finally, two real data applications are given showing the flexibility and potentiality of the new distribution
previous article Transmuted Kumaraswamy Quasi Lindley Distribution with Applications
next article Artificial Neural Network Classification of High Dimensional Data with Novel Optimization Approach of Dimension Reduction

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
Appendix
Available only for authorised users
Literature
1.
Lindley DV (1958) Fiducial distributions and Bayes theorem. J R Stat Soc Ser B 20:10–107
2.
Ghitany ME, Atieh B, Nadarajah S (2008) Lindley distribution and its application. Math Comput Simul 78:493–506CrossRef
3.
Bakouch HS, Al-Zahrani BM, Al-Shomrani AA, Marchi VAA, Louzada F (2012) An extended Lindley distribution. J Korean Stat Soc 41:75–85CrossRef
4.
Ghitany ME, Al-Qallaf F, Al-Mutairi DK, Hussain HA (2011) A two-parameter weighted Lindley distribution and its applications to survival data. Math Comput Simul 81:1190–1201CrossRef
5.
Nadarajah S, Bakouch HS, Tahmasbi RA (2011) Generalized Lindley distribution. Sankhya B 73:331–359CrossRef
6.
Merovci F, Elbatal I (2014) Transmuted Lindley-geometric and its application. J Stat Appl Probab 3:77–91CrossRef
7.
Asgharzadeh A, Bakouch SH, Nadarajah S, Esmaeili L (2014) A new family of compound lifetime distributions. Kybernetika 50:142–169
8.
9.
Ghitany ME, Al-Mutairi DK, Balakrishnan N, Al-Enezi LJ (2013) Power Lindley distribution and associated inference. Comput Stat Data Anal 64:20–33CrossRef
10.
11.
12.
El-Din MMM, Abu-Youssef SE, Ali NSA, Abd El-Raheem AM (2017) Optimal plans of constant-stress accelerated life tests for the Lindley distribution. J Test Eval 45:1463–1475
13.
Corless RM, Gonnet GH, Hare DEG, Jeffrey DJ, Knuth DJ (1996) On the Lambert W function. Adv Comput Math 5:329–359CrossRef
14.
Johnson NL, Kotz S, Balakrishnan N (1994) Continuous univariate distributions, vol 1, 2nd edn. Wiley, New York
15.
Moors JJA (1988) A quantile alternative for kurtosis. Statistician 37:25–32CrossRef
16.
Zakerzadeh H, Dolati A (2009) Generalized Lindley distribution. J Math Ext 3:13–25
17.
Pararai M, Warahena-Liyanage G, Oluyede BO (2015) A new class of generalized power Lindley distribution with applications to lifetime data. Theor Math Appl 5:53–96
18.
Nadarajah S, Shahsanaei F, Rezaei S (2014) A new four-parameter lifetime distribution. J Stat Comput Simul 84:248–263CrossRef
19.
Lemonte AJ, Cordeiro GM (2013) An extended Lomax distribution. Statistics 47:800–816CrossRef
20.
Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech Trans ASME 18(1951):293–297
21.
Aarset MV (1987) How to identify bathtub hazard rate. IEEE Trans Reliab 36:106–108CrossRef
22.
Smith RL, Naylor JC (1987) A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution. Appl Stat 36:358–369CrossRef
23.
Chen G, Balakrishnan N (1995) A general purpose approximate goodness-of-fit test. J Qual Technol 27:154–161CrossRef
Metadata
Title
Exponentiated Power Lindley Logarithmic: Model, Properties and Applications
Authors
A. Shabani
M. Khaleghi Moghadam
A. Gholami
E. Moradi
Publication date
02-05-2018
Publisher
Springer Berlin Heidelberg
Published in
Annals of Data Science / Issue 4/2018
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-018-0154-3

Other articles of this Issue 4/2018

Annals of Data Science 4/2018 Go to the issue

OriginalPaper

Joint Modeling of Longitudinal CD4 Count and Time-to-Death of HIV/TB Co-infected Patients: A Case of Jimma University Specialized Hospital

OriginalPaper

Assessing Survival Time of Women with Cervical Cancer Using Various Parametric Frailty Models: A Case Study at Tikur Anbessa Specialized Hospital, Addis Ababa, Ethiopia

OriginalPaper

Statistical Inference and Optimum Life Testing Plans Under Type-II Hybrid Censoring Scheme

OriginalPaper

Artificial Neural Network Classification of High Dimensional Data with Novel Optimization Approach of Dimension Reduction

OriginalPaper

Forecasting the Volatility of Ethiopian Birr/Euro Exchange Rate Using Garch-Type Models

OriginalPaper

Transmuted Kumaraswamy Quasi Lindley Distribution with Applications