A Transmuted Power Gompertz Distribution: Properties and Applications

2021 ◽  
pp. 127-145
Author(s):  
Innocent Boyle Eraikhuemen ◽  
Terna Godfrey Ieren ◽  
Adana’a Felix Chama ◽  
Abraham Iorkaa Asongo ◽  
Bassa Shiwaye Yakubu ◽  
...  
Keyword(s):  
Gompertz Distribution

Estimation of P (X < Y) for Gompertz distribution based on upper records

2021 ◽  
pp. 1-12
Author(s):  
Ayush Tripathi ◽  
Umesh Singh ◽  
Sanjay Kumar Singh
Keyword(s):  
Gompertz Distribution

scholarly journals Rayleigh Gamma gompertz distribution: Properties and applications

2021 ◽  
Author(s):  
Nadia Hashim Al-Noor ◽  
Noor Kareem Assi
Keyword(s):  
Gompertz Distribution

scholarly journals Theory and Applications of the Unit Gamma/Gompertz Distribution

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1850
Author(s):  
Rashad A. R. Bantan ◽  
Farrukh Jamal ◽  
Christophe Chesneau ◽  
Mohammed Elgarhy
Keyword(s):  
Stochastic Ordering ◽  
Real Data ◽  
Rate Function ◽  
The Other ◽  
Likelihood Method ◽  
Model Parameters ◽  
Data Sets ◽  
Gompertz Distribution ◽  
Probability And Statistics ◽  
Analytical Behavior

Unit distributions are commonly used in probability and statistics to describe useful quantities with values between 0 and 1, such as proportions, probabilities, and percentages. Some unit distributions are defined in a natural analytical manner, and the others are derived through the transformation of an existing distribution defined in a greater domain. In this article, we introduce the unit gamma/Gompertz distribution, founded on the inverse-exponential scheme and the gamma/Gompertz distribution. The gamma/Gompertz distribution is known to be a very flexible three-parameter lifetime distribution, and we aim to transpose this flexibility to the unit interval. First, we check this aspect with the analytical behavior of the primary functions. It is shown that the probability density function can be increasing, decreasing, “increasing-decreasing” and “decreasing-increasing”, with pliant asymmetric properties. On the other hand, the hazard rate function has monotonically increasing, decreasing, or constant shapes. We complete the theoretical part with some propositions on stochastic ordering, moments, quantiles, and the reliability coefficient. Practically, to estimate the model parameters from unit data, the maximum likelihood method is used. We present some simulation results to evaluate this method. Two applications using real data sets, one on trade shares and the other on flood levels, demonstrate the importance of the new model when compared to other unit models.

scholarly journals Generalized Gamma – Generalized Gompertz Distribution

2020 ◽  
Vol 1591 ◽  
pp. 012043
Author(s):  
M A A Boshi ◽  
S H Abid ◽  
N H Al-Noor
Keyword(s):  
Gompertz Distribution ◽  
Generalized Gamma

scholarly journals On Performance of Two-Parameter Gompertz-Based X¯ Control Charts

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Johnson A. Adewara ◽  
Kayode S. Adekeye ◽  
Olubisi L. Aako
Keyword(s):  
Control Chart ◽  
Coverage Probability ◽  
Control Charts ◽  
Average Run Length ◽  
Real Life ◽  
Correction Method ◽  
Gompertz Distribution ◽  
Real Life Data ◽  
Control Limits ◽  
Two Parameter

In this paper, two methods of control chart were proposed to monitor the process based on the two-parameter Gompertz distribution. The proposed methods are the Gompertz Shewhart approach and Gompertz skewness correction method. A simulation study was conducted to compare the performance of the proposed chart with that of the skewness correction approach for various sample sizes. Furthermore, real-life data on thickness of paint on refrigerators which are nonnormal data that have attributes of a Gompertz distribution were used to illustrate the proposed control chart. The coverage probability (CP), control limit interval (CLI), and average run length (ARL) were used to measure the performance of the two methods. It was found that the Gompertz exact method where the control limits are calculated through the percentiles of the underline distribution has the highest coverage probability, while the Gompertz Shewhart approach and Gompertz skewness correction method have the least CLI and ARL. Hence, the two-parameter Gompertz-based methods would detect out-of-control faster for Gompertz-based X¯ charts.

scholarly journals Fuzzy Bayesian Inference for Gompertz Distribution

2016 ◽  
Vol 9 (16) ◽  
Author(s):  
D. Sheeba Singh ◽  
M. Immaculate Mary ◽  
M. Muthu Kumar
Keyword(s):  
Bayesian Inference ◽  
Gompertz Distribution

Poisson Gompertz Distribution with Properties and Applications

2021 ◽  
Vol 16 (1) ◽  
pp. 75-84
Author(s):  
Arun Kumar Chaudhary ◽  
Laxmi Prasad Sapkota ◽  
Vijay Kumar
Keyword(s):  
Gompertz Distribution
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