In this research, the method of synthesis of Pareto distributions of the first type and amputated ace was used to obtain amore flexible distribution of single distributions in the representation of data of complex phenomena and then derived its characteristics (decentralized moments, central moments, variance, torsion coefficient, flattening coefficient, median and mode), and its parameters were estimated in four ways, namely (Maximum Likelihood, moments, fragmentary capabilities and Bayes estimator (Jeffrey method)), and the conclusion was made By using different hypothetical values for the parameters and four different sizes for the samples, namely (100,50,25), the experiment was repeated (1000) times, and using the MSE) criterion to compare the results of the estimate that the torque and bayes methods compete for preference.
REFERENCES
1.
Al-Baqer
, Zainab Muhammad Baqir
Sadiq
. (2017
). "Estimating the Reliability Function of Poisson Distribution with Practical Application
", Master’s Thesis, University of Karbala, Faculty of Management and Economics
.2.
Al-Ameri
, Bahaa Abdul Razzaq
Qasim
. (2021
). "The use of some truncated distributions in the construction of an expert system to estimate the optimal period for the replacement of machinery and equipment with practical application
", doctoral thesis, University of Karbala, Faculty of Administration and Economics
.3.
Badr
, Duraid
Hussein
. (2019
). "Estimating the Function of Foggy Reliability Using the Biz Method with Practical Application", Journal of Economic Sciences, Faculty of Administration and Economics
, University of Basra
.4.
Jalil
, Talib
Sharif
and Ibrahim
, Kurdistan
and Abdullah
, Zainab
. (2013
). "Finding the Reliability of the Succession System in a New Way
", Iraqi Journal of Statistical Sciences
, 98
–77
pp :(23
)13
.5.
Khamas
, Qais
Sabaa
and Abdullah
, Thaer Najm
. (2013
). "The Use of Some Amputated Probability Models to Study the Characteristics of Health Compensation in the Iraqi Insurance Company
", Journal of Economic and Administrative Sciences
, 320
–289
pp :(72
)19
.6.
Abdul
Karim
, Haider
Salem
. (2022
). "Comparison of the Great Possible Method and the Genetic Method with the Pesian Methods for Estimating the Survival Function of the Extended Power Function Distribution with Application
", Master’s Thesis, University of Basra, Faculty of Management and Economics
.7.
Abdelti
F.
, Zahra
Riyad
, (2021
). "Estimating the Reliability Function of Shifted Gompertz Distribution Data with Practical Application
", Master’s Thesis, University of Basra, Faculty of Administration and Economics
.8.
Abd
, Rehab Ahmed
. (2021
). "Reduction of dimensions in a way that is less the rate of variation of the penal quantity of the divisional regression with the Crop-Laso penalty function with practical application
", Master’s thesis, University of Basra, Faculty of Administration and Economics
.9.
Aziz
, Sakina
Sultan
. (2021
). "Reduced Bizian Capabilities of the Measurement Parameter and the Reliability Function of the Failure Time Distribution (Maxwell) by Adopting the Quadratic Loss and Linear Exponential Loss Functions
", Master’s Thesis, University of Basra, Faculty of Administration and Economics
.10.
Abboudi
, Imad
Hazem
and Naima, Ali
Bandar
. (2016
). "Comparison of My Method (LSD &MLE) for Estimating the Parameters of the Fréschetbuissonlindley Composite Distribution (Simulation Study)
", Ibn al-Haytham Journal of Pure and Applied Sciences
, 401
–414
pp :(3
)28
.11.
Hormuz
, Prince of
Hanna
. (1990
). "Mathematical Statistics
". 1st Floor, Mosul: Directorate of Publishing House for Printing and Publishing
, Iraq
.12.
Al-Kadim
, K. A.
, & Boshi
, M. A.
(2013
). "exponential Pareto distribution
". Mathematical Theory and Modeling
, 3
(5
): pp 135
–146
.13.
Alzaatreh
, A.
& Ghosh
, I.
(2016
). "A study of the Gamma-Pareto (IV)distribution and its applications
", Communications in Statistics-Theory and Methods
, 45
(3
): pp 636
–654
.14.
Asgharzadeha
, A.
, Bakouch
, H. S
, & Esmaeilia
, L.
(2013
). "Pareto Poisson-Lindley Distribution with Applications
", Journal of Applied Statistic
, 40
(8
): pp 1717
–1734
.15.
Maiti
, S. S.
, & Pramanik
, S.
(2016
). "Odds Generalized Exponential-Pareto Distribution: Properties and Application
". Pak.j.stat.oper.res.
XII
(2
): pp 257
–279
.16.
Souza
, W.
, Santos
, A. H. S.
& Cordeiro
, G. M.
(2010
). "The Beta Generalized Exponential Distribution
". Journal of Statistical Computation and Simulation
, 80
(2
): pp 159
–172
.17.
Tahir
, M. H.
, Cordeiro
, G. M.
, Alzaatreh
, A.
, Mansoor
, M.
, & Zubair
, M.
(2016
). "A New Weibull-Pareto Distribution: Properties and Applications
". Communications in Statistics-Simulation and Computation
, 45
(10
): pp 3548
–3567
.18.
Wikipedia, Incompletegamma function
, https://en.m.wikipedia.org/wiki/Incomplete_gamma_function".19.
Zea
, L. M.
, Silva
, R. B.
, Bourguignon
, M.
, Santos
, A. M.
, & Cordeiro
G. M.
(2012
). "The Beta Exponentiated Pareto Distribution with Application to Bladder Cancer Susceptibility
". International Journal of Statistics and Probability
, 1
(2
): pp 8
–19
.
This content is only available via PDF.
©2023 Authors. Published by AIP Publishing.
2023
Author(s)
You do not currently have access to this content.
