Top

Annals of Data Science

Published in:

29-01-2020

On Discrimination Between the Lindley and xgamma Distributions

Authors: Subhradev Sen, Hazem Al-Mofleh, Sudhansu S. Maiti

Published in: Annals of Data Science | Issue 3/2021

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

search-config

AI-assisted search

Off

Abstract

For a given data set the problem of selecting either Lindley or xgamma distribution with unknown parameter is investigated in this article. Both these distributions can be used quite effectively for analyzing skewed non-negative data and in modeling time-to-event data sets. We have used the ratio of the maximized likelihoods in choosing between the Lindley and xgamma distributions. Asymptotic distributions of the ratio of the maximized likelihoods are obtained and those are utilized to determine the minimum sample size required to discriminate between these two distributions for user specified probability of correct selection and tolerance limit.

previous article Predicting Indian Stock Market Using the Psycho-Linguistic Features of Financial News

next article A Two-Phase Multi-criteria Fuzzy Group Decision Making Approach for Supplier Evaluation and Order Allocation Considering Multi-objective, Multi-product and Multi-period

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

Asgharzadeh A, Nadarajah S, Sharafi F (2017) Generalized inverse Lindley distribution with application to Danish fire insurance data. Commun Stat Theory Methods 46:5001–5021CrossRef

Atkinson AC (1969) A test for discriminating between models. Biometrika 56(2):337–347CrossRef

Atkinson AC (1970) A method for discriminating between models. J. R. Stat. Soc. Ser. B (Methodol.) 32:323–353

Bakouch HS, Al-Zahrani BM, Al-Shomrani AA, Marchi VA, Louzada F (2012) An extended Lindley distribution. J. Korean Stat. Soc. 41(1):75–85CrossRef

Chambers EA, Cox DR (1967) Discrimination between alternative binary response models. Biometrika 54(3–4):573–578CrossRef

Chen W (1980) On the tests of separate families of hypotheses with small sample size. J. Stat. Comput. Simul. 11(3–4):183–187CrossRef

Cox, D.R.: Tests of separate families of hypotheses. In: Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, pp. 105–123. University of California Press, Berkley (1961)

Cox DR (1962) Further results on tests of separate families of hypotheses. J. R. Stat. Soc. Ser. B (Methodol.) 24:406–424

Dumonceaux R, Antle CE, Haas G (1973) Likelihood Ratio Test for discriminating between two models with unknown location and scale parameters. Technometrics 15(1):19–27

10.

Dyer AR (1973) Discrimination procedures for separate families of hypotheses. J. Am. Stat. Assoc. 68(344):970–974CrossRef

11.

Ghitany ME, Al-Mutairi DK, Balakrishnan N, Al-Enezi LJ (2013) Power Lindley distribution and associated inference. Comput. Stat. Data Anal. 64:20–33CrossRef

12.

Ghitany ME, Atieh B, Nadarajah S (2008) Lindley distribution and its application. Math. Comput. Simul. 78(4):493–506CrossRef

13.

Gomez DE, Ojeda EC (2011) The discrete Lindley distribution:properties and applications. J. Stat. Comput. Simul. 81(11):1405–1416CrossRef

14.

Lawless JF (1982) Statistical Models and Methods for Lifetime Data. Wiley, New York

15.

Lindley DV (1958) Fiducial distributions and Bayes’ theorem. J. R. Stat. Soc. Ser. B (Methodol.) 20:102–107

16.

Merovci, F., Sharma, V.K.: The beta-Lindley distribution: properties and applications. J. Appl. Math. (2014)

17.

Nadarajah S, Bakouch HS, Tahmasbi R (2011) A generalized Lindley distribution. Sankhya B-Appl. Interdiscip. Stat. 73(2):331–359CrossRef

18.

Nedjar S, Zeghdoudi H (2016) On gamma Lindley distribution: properties and simulations. J. Comput. Appl. Math. 298:167–174CrossRef

19.

Sankaran M (1970) The discrete poisson-Lindley distribution. Biometrics 26(1):145–149CrossRef

20.

Sen S, Chandra N (2017a) The quasi xgamma distribution with application in bladder cancer data. J. Data Sci. 15(1):61–76CrossRef

21.

Sen S, Chandra N, Maiti SS (2017b) The weighted xgamma distribution: properties and application. J. Reliab. Stat. Stud. 10(1):43–58

22.

Sen S, Chandra N, Maiti SS (2018) Survival estimation in xgamma distribution under progressively type-II right censored scheme. Model Assist. Stat. Appl. 13(2):107–121

23.

Sen S, Maiti SS, Chandra N (2016) The xgamma distribution: statistical properties and application. J. Mod. Appl. Stat. Methods 15(1):774–788CrossRef

24.

Shanker R, Sharma S, Shanker R (2013) A two-parameter Lindley distribution for modeling waiting and survival times data. Appl. Math. 4:363–368CrossRef

25.

Shibu DS, Irshad MR (2016) Extended new generalized Lindley distribution. Statistica 76(1):41–56

26.

White H (1982a) Maximum likelihood estimation of mis-specified models. Econometrica 50:1–25CrossRef

27.

White H (1982b) Regularity conditions for Cox’s test of non-nested hypotheses. J. Econom. 19:301–318CrossRef

Title: On Discrimination Between the Lindley and xgamma Distributions
Authors: Subhradev Sen
Hazem Al-Mofleh
Sudhansu S. Maiti
Publication date: 29-01-2020
Publisher: Springer Berlin Heidelberg
Published in: Annals of Data Science / Issue 3/2021
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI: https://doi.org/10.1007/s40745-020-00243-7

Springer Professional

Abstract

Please log in to get access to your license.

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

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 3/2021

A Generalization of the Quantile-Based Flattened Logistic Distribution

On the Inverse Power Gompertz Distribution

Analytical Split Value Calculation for Numerical Attributes in Hoeffding Trees with Misclassification-Based Impurity

Modeling Determinants of Low Birth Weight for Under Five-Children in Ethiopia

Predicting Indian Stock Market Using the Psycho-Linguistic Features of Financial News

A Two-Phase Multi-criteria Fuzzy Group Decision Making Approach for Supplier Evaluation and Order Allocation Considering Multi-objective, Multi-product and Multi-period