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References (38)
-
V. Bagdonavičius, R. Levulienė, M. Nikulin (2013)
Chi-Squared Goodness-of-Fit Tests for Parametric Accelerated Failure Time ModelsCommunications in Statistics - Theory and Methods, 42
-
D. Olson (2005)
Introduction to Business Data Mining -
Arjun Gupta, S. Nadarajah (2004)
Handbook of beta distribution and its applications -
N. Nahman, D. Middendorf, W. Bay, R. McElligott, S. Powell, J. Anderson (1992)
Modification of the percutaneous approach to peritoneal dialysis catheter placement under peritoneoscopic visualization: clinical results in 78 patients.Journal of the American Society of Nephrology : JASN, 3 1
-
M. Ghitany, J. Mazucheli, A. Menezes, F. Alqallaf (2018)
The unit-inverse Gaussian distribution: A new alternative to two-parameter distributions on the unit intervalCommunications in Statistics - Theory and Methods, 48
-
F. Bhatti, G. Hamedani, Azeem Ali, M. Ahmad (2018)
Some Characterizations of Transmuted Modified Burr III Distribution -
W. Glanzel (1990)
Some consequences of a characterization theorem based on truncated momentsStatistics, 21
-
J. Mazucheli, A. Menezes, S. Dey (2018)
The unit-Birnbaum-Saunders distribution with applications -
P. Ramos, F. Louzada, E. Ramos, S. Dey (2018)
The Fréchet distribution: Estimation and application - An overviewJournal of Statistics and Management Systems, 23
-
G. Cordeiro, R. Brito (2012)
The beta power distributionBrazilian Journal of Probability and Statistics, 26
-
N. Johnson (1949)
Bivariate distributions based on simple translation systems.Biometrika, 36 3-4
-
Samia Mukhtar, Azeem Ali, A. Alya (2018)
Mc-Donald modified Burr-III distribution: properties and applicationsJournal of Taibah University for Science, 13
-
(2018)
The unit-Weibull distribution and associated infer- ence -
J. Mazucheli, A. Menezes, S. Dey (2019)
Unit-Gompertz Distribution with ApplicationsStatistica, 79
-
GG Hamedani (1993)
Characterizations of cauchy, normal and uniform distributionsStud Sci Math Hung, 28
-
F. Louzada, P. Ramos, P. Ferreira (2018)
Exponential-Poisson distribution: estimation and applications to rainfall and aircraft data with zero occurrenceCommunications in Statistics - Simulation and Computation, 49
-
V. Bagdonavičius, M. Nikulin (2011)
Chi-squared goodness-of-fit test for right censored dataInternational journal of applied mathematics and statistics, 24
-
Yong Shi, Ying-jie Tian, Gang Kou, Yi Peng, Jianping Li (2011)
Optimization Based Data Mining: Theory and Applications -
W. Glänzel (1987)
A Characterization Theorem Based on Truncated Moments and its Application to Some Distribution Families -
(2017)
acknowledges support from the São Paulo State Research Foundation (FAPESP -
A. Menezes, J. Mazucheli, S. Dey (2018)
THE UNIT-LOGISTIC DISTRIBUTION: DIFFERENT METHODS OF ESTIMATIONPesquisa Operacional
-
M. Haq, M. Elgarhy, Sharqa Hashmi (2019)
The generalized odd Burr III family of distributions: properties, applications and characterizationsJournal of Taibah University for Science, 13
-
M. Ahsanullah (2017)
Characterizations of Univariate Continuous Distributions -
P. Kumaraswamy (1980)
A generalized probability density function for double-bounded random processesJournal of Hydrology, 46
-
Azeem Ali, Syed Hasnain, M. Ahmad (2015)
MODIFIED BURR III DISTRIBUTION, PROPERTIES AND APPLICATIONS -
(2014)
Big data: history, current status, and challenges going forward -
V. Todorov, P. Filzmoser (2009)
An Object-Oriented Framework for Robust Multivariate AnalysisJournal of Statistical Software, 32
-
John Kao (1959)
A Graphical Estimation of Mixed Weibull Parameters in Life-Testing of Electron TubesTechnometrics, 1
-
S. Chakraborty, Laba Handique, R. Usman (2020)
A Simple Extension of Burr-III Distribution and Its Advantages over Existing Ones in Modelling Failure Time DataAnnals of Data Science, 7
-
J. Klein, M. Moeschberger (1997)
Survival Analysis: Techniques for Censored and Truncated Data -
R. Cheng, Nowshad Amin (1983)
Estimating Parameters in Continuous Univariate Distributions with a Shifted OriginJournal of the royal statistical society series b-methodological, 45
-
RCH Cheng, NAK Amin (1983)
Estimating parameters in continuous univariate distributions with a shifted originJ R Stat Soc Ser B: Methodol, 45
-
A Ali, M Ahmad (2015)
The transmuted modified Burr III distributionJ ISOSS, 1
-
R. Varadhan, P. Gilbert (2009)
BB: An R Package for Solving a Large System of Nonlinear Equations and for Optimizing a High-Dimensional Nonlinear Objective FunctionJournal of Statistical Software, 32
-
G. Hamedani (2002)
Characterizations of univariate continuous distributions. IIStudia Scientiarum Mathematicarum Hungarica, 39
-
C. Topp, F. Leone (1955)
A Family of J-Shaped Frequency FunctionsJournal of the American Statistical Association, 50
-
R. Usman, M. Haq (2019)
Some Remarks on Odd Burr III Weibull DistributionAnnals of Data Science, 6
-
(1972)
Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
- Publisher
- Springer Journals
- Copyright
- Copyright © Springer-Verlag GmbH Germany, part of Springer Nature 2020
- ISSN
- 2198-5804
- eISSN
- 2198-5812
- DOI
- 10.1007/s40745-020-00298-6
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, a new three-parameter unit probability distribution is proposed. The new model is a generalization of Burr III distribution, and it is more flexible than some existing well-known distribution due to its different shapes of the hazard function and probability density functions. The mathematical properties of this distribution are presented, including moments, reliability measures, mean residual life, and characterizations, and we also propose a modified Chi squared goodness-of-fit test based on Nikulin–Rao–Robson statistic Y2 in the presence of complete and censored data. The parameters related to the proposed distribution are estimated using well-known estimation methods. A numerical simulations study is conducted for reinforcement of the results. In the end, we considered two real datasets to illustrate the applicability of the proposed model.
Journal
Annals of Data Science – Springer Journals
Published: Apr 1, 2023
Keywords: Burr III distribution; Moments; Estimation; Characterization; Goodness-of-fit test