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 4/2019

29-03-2019

Estimation and Prediction for Gompertz Distribution Under the Generalized Progressive Hybrid Censored Data

Authors: M. M. Mohie El-Din, M. Nagy, M. H. Abu-Moussa

Published in: Annals of Data Science | Issue 4/2019

Log in

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

search-config
loading …

Abstract

In this paper, the statistical inference for the Gompertz distribution based on generalized progressively hybrid censored data is discussed. The estimation of the parameters for Gompertz distribution is discussed using the maximum likelihood method and the Bayesian methods under different loss functions. The existence and uniqueness of the maximum likelihood estimation are proved. The point and interval Bayesian predictions for unobserved failures from the same sample and that from the future sample are derived. The Monte Carlo simulation is applied to compare the proposed methods. A real data example is used to apply the methods of estimation and to construct the prediction intervals.
previous article On Exponential Negative-Binomial-X Family of Distributions
next article Generalized Lindley Distribution Based on Order Statistics and Associated Inference with Application

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.
Aggarwala R, Balakrishnan N (1998) Some properties of progressive censored order statistics from arbitrary and uniform distributions with applications to inference and simulation. J Stat Plan Inference 70:35–49CrossRef
2.
Cramer E, Iliopoulos G (2010) Adaptive progressive Type-II ensoring. Test 19:342–358CrossRef
3.
Raqab MZ, Asgharzadeh A, Valiollahi R (2010) Prediction for Pareto distribution based on progressively Type-II censored samples. Comput Stat Data Anal 54:1732–1743CrossRef
4.
Mohie El-Din MM, Shafay AR (2013) One-and two-sample Bayesian prediction intervals based on progressively Type-II censored data. Stat Pap 54:287–307CrossRef
5.
Balakrishnan N, Cohen AC (2014) Order statistics–inference: estimation methods. Elsevier, Amsterdam
6.
Kundu D, Joarder A (2006) Analysis of Type-II progressively hybrid censored data. Comput Stat Data Anal 50:2509–2528CrossRef
7.
Childs A, Chandrasekar B, Balakrishnan N (2008) Exact likelihood inference for an exponential parameter under progressive hybrid censoring schemes. In: Statistical models and methods for biomedical and technical systems, pp 319-330
8.
Lin CT, Chou CC, Huang YL (2012) Inference for the Weibull distribution with progressive hybrid censoring. Comput Stat Data Anal 56:451–467CrossRef
9.
Lin CT, Huang YL (2012) On progressive hybrid censored exponential distribution. J Stat Comput Simul 82:689–709CrossRef
10.
Hemmati F, Khorram E (2013) Statistical analysis of the log-normal distribution under Type-II progressive hybrid censoring schemes. Commun Stat Simul Comput 42:52–75CrossRef
11.
Mohie El-Din MM, Abdel-Aty Y, Abu-Moussa MH (2017) Statistical inference for the Gompertz distribution based on Type-II progressively hybrid censored data. Commun Stat Simul Comput 46(8):6242–6260CrossRef
12.
Cho Y, Sun H, Lee K (2015) Exact likelihood inference for an exponential parameter under generalized progressive hybrid censoring scheme. Stat Methodol 23:18–34CrossRef
13.
Gompertz B (1825) On the nature of the function expressive of the law of human mortality and on a new mode of determining the value of life contingencies. Philos Trans R Soc Lond 115:513–583CrossRef
14.
Wu C, Wu S, Chan H (2006) MLE and the estimated expected test time for the two-parameter Gompertz distribution under progressive censoring with binomial removals. Appl Math Comput 181(2):1657–1670
15.
Mohie El-Din MM, Abu-Moussa MH (2018) statistical inference and prediction for the Gompertz distribution based on multiply Type-I censored data. J Egypt Math Soc 26(2):218–234CrossRef
16.
Ghitany M, Alqallaf F, Balakrishnan N (2014) On the likelihood estimation of the parameters of Gompertz distribution based on complete and progressively Type-II censored samples. J Stat Comput Simul 84(8):1803–1812CrossRef
17.
Al-Bayyati HN (2002) Comparing methods of estimating Weibull failure models using simulation. Unpublished PhD thesis
18.
Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087–1092CrossRef
19.
Basak I, Basak P, Balakrishnan N (2006) On some predictors of times to failure of censored items in progressively censored samples. Comput Stat Data Anal 50:1313–1337CrossRef
20.
Balakrishnan N, Childs A, Chandrasekar B (2002) An efficient computationalmethod formoments of order statistics under progressive censoring. Stat Probab Lett 60:359–365CrossRef
21.
Wu SJ, Chang CT, Tsai T-R (2003) Point and interval estimations for the Gompertz distribution under progressive type-II censoring. Metron 61(3):403–418
Metadata
Title
Estimation and Prediction for Gompertz Distribution Under the Generalized Progressive Hybrid Censored Data
Authors
M. M. Mohie El-Din
M. Nagy
M. H. Abu-Moussa
Publication date
29-03-2019
Publisher
Springer Berlin Heidelberg
Published in
Annals of Data Science / Issue 4/2019
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-019-00199-3

Other articles of this Issue 4/2019

Annals of Data Science 4/2019 Go to the issue

OriginalPaper

Reliability Models Using the Composite Generalizers of Weibull Distribution

OriginalPaper

A Dynamic Panel Gravity Model Application on the Determinant Factors of Ethiopia’s Coffee Export Performance

OriginalPaper

Improving Time Complexity and Accuracy of the Machine Learning Algorithms Through Selection of Highly Weighted Top k Features from Complex Datasets

OriginalPaper

Statistical Inference for the Chen Distribution Based on Upper Record Values

OriginalPaper

On Exponential Negative-Binomial-X Family of Distributions

OriginalPaper

On Regularisation Methods for Analysis of High Dimensional Data