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Journal articles on the topic 'Gompertz-Makeham distribution'

Author: Grafiati
Published: 5 June 2025
Last updated: 2 August 2025

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1

Mohamed, I. Riffi, and S. Hamdan Mohammed. "Cubic Transmuted Gompertz-Makeham Distribution." European Journal of Advances in Engineering and Technology 5, no. 12 (2018): 1001–10. https://doi.org/10.5281/zenodo.10727698.

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<strong>ABSTRACT</strong> We introduce a cubic rank transmuted Gompertz-Makeham distribution that extends the standard Gompertz-Makeham model by incorporating two more parameters into its distribution functions. We study the main statistical properties of the cubic transmuted model, including its hazard rate function, moment-generating function, moments, characteristic function, quantile function, entropy, order statistics, and moments of order statistics.
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2

Olosunde, Akinlolu, and Tosin Adekoya. "ON GENERALISATION OF GOMPERTZ-MAKEHAM DISTRIBUTION." Indonesian Journal of Statistics and Its Applications 4, no. 1 (2020): 22–38. http://dx.doi.org/10.29244/ijsa.v4i1.250.

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In this paper an exponentiated generalised Gompertz-Makeham distribution. An exponentiated generalised family was introduced by Codeiro, et. al., which allows greater flexibility in the analysis of data. Some Mathematical and Statistical properties including cumulative distribution function, hazard function and survival function of the distribution are derived. The estimation of model parameters are derived via the maximum likelihood estimate method.
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3

Marshall, Albert W., and Ingram Olkin. "A bivariate Gompertz–Makeham life distribution." Journal of Multivariate Analysis 139 (July 2015): 219–26. http://dx.doi.org/10.1016/j.jmva.2015.02.011.

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4

Jodra, Pedro. "ON ORDER STATISTICS FROM THE GOMPERTZ–MAKEHAM DISTRIBUTION AND THE LAMBERT W FUNCTION." Mathematical Modelling and Analysis 18, no. 3 (2013): 432–45. http://dx.doi.org/10.3846/13926292.2013.807316.

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The aim of this paper is twofold. First, we show that the expected value of the minimum order statistic from the Gompertz-Makeham distribution can be expressed in closed form in terms of the incomplete gamma function. We also give a general formula for the moments of the minimum order statistic in terms of the generalized integro-exponential function. As a consequence, the moments of all order statistics from this probability distribution can be more easily evaluated from the moments of the minimum order statistic. Second, we show that the maximum and minimum order statistics from the Gompertz
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5

Fahmy, Nermin. "Estimating hazard rates using appropriate statistical distribution." International Journal of Advanced Statistics and Probability 6, no. 1 (2017): 18. http://dx.doi.org/10.14419/ijasp.v6i1.8358.

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This research deals primarily with the hazard rate function of a class of distributions, and discusses the relation between the hazard rate function, and the density function. It was found that the Makeham-Gompertz mortality distribution and the truncated extreme value distribution had the same hazard rate function. We used the hazard rate function derived from these distributions to find the actuarial functions.
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6

Elshahhat, Ahmed, Hoda Rezk, and Refah Alotaibi. "The discrete Gompertz–Makeham distribution for multidisciplinary data analysis." AIMS Mathematics 10, no. 7 (2025): 17117–78. https://doi.org/10.3934/math.2025768.

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7

Abd El-Bar, Ahmed M. T. "An extended Gompertz-Makeham distribution with application to lifetime data." Communications in Statistics - Simulation and Computation 47, no. 8 (2017): 2454–75. http://dx.doi.org/10.1080/03610918.2017.1348517.

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8

M., Vasuki, and Dinesh Kumar A. "STOCHASTIC MODEL TO ESTIMATE THE AH ON CORTISOL PRODUCTION USING WEIBULL DISTRIBUTION." International Journal of Applied and Advanced Scientific Research (IJAASR) 5, no. 2 (2020): 43–46. https://doi.org/10.5281/zenodo.6075798.

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The adrenal glands are the primary source of minerocorticoids, glucocorticoids, and the so-called adrenal androgens. Under physiological conditions, cortisol and adrenal androgen synthesis are controlled primarily by ACTH. Although it has been established that ACTH can stimulate steroidogenesis, the effects of ACTH on overall gene expression in human adrenal cells have not been established. In this paper, we estimate the Adrenocorticotropic Hormone on cortisol production using Weibull Distribution with the help of Gompertz Makeham function.
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9

Leonova, Olga. "Population Death Rate Modeling by Means of Analytical Laws Illustrated by the Example of Russia." Bulletin of Baikal State University 29, no. 1 (2019): 95–106. http://dx.doi.org/10.17150/2500-2759.2019.29(1).95-106.

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In this paper, the author uses a system approach for modeling analytical laws of mortality. The article considers modeling such probabilistic characteristics as: deaths graph, survival function, mortality rate. The data tables of Russia's population mortality in 2017 are approximated by such traditional analytical laws as that of de Moivre, Gompertz, Makeham, Weibull and Еrlang. For each class of distributions the problem of estimation of unknown parameters is solved by using different methods. The quality of models fitting was tested with the help of determination coefficient. Microsoft Excel
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10

Adebisi Ade, Ogunde. "Performance Rating of the Exponentiated Generalized Gompertz Makeham Distribution: An Analytical Approach." American Journal of Theoretical and Applied Statistics 6, no. 5 (2017): 228. http://dx.doi.org/10.11648/j.ajtas.20170605.12.

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11

Jodrá, P. "A closed-form expression for the quantile function of the Gompertz–Makeham distribution." Mathematics and Computers in Simulation 79, no. 10 (2009): 3069–75. http://dx.doi.org/10.1016/j.matcom.2009.02.002.

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12

Teimouri, Mahdi, and Arjun K. Gupta. "Estimation Methods for the Gompertz–Makeham Distribution Under Progressively Type-I Interval Censoring Scheme." National Academy Science Letters 35, no. 3 (2012): 227–35. http://dx.doi.org/10.1007/s40009-012-0048-4.

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13

Shott, Michael J., and Jesse A. M. Ballenger. "Biface Reduction and the Measurement of Dalton Curation: A Southeastern United States Case Study." American Antiquity 72, no. 1 (2007): 153–75. http://dx.doi.org/10.2307/40035302.

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Stone tools were reduced during use, with implications both for classification and curation rates. Ballenger's “expended utility” (EU) is a continuous reduction measure devised for Dalton bifaces, described by its mean but also its distribution among specimens. We validate EU as a reduction measure by reference to experimental and contextual controls. We compare EU between the “special context” Dalton assemblages Sloan and Hawkins in Arkansas and Ballenger's eastern Oklahoma “occupation context” ones. Then we fit EU distributions to mathematical functions to model the curation process. Results
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14

Et. al., V. G. Shanthi,. "MATHEMATICAL MODEL FOR THE RESPONSE OF HPA AXIS APPLYING GOMPERTZ - MAKEHAM DISTRIBUTION IN ASSOCIATION WITH ANALYTIC UNIVALENT FUNCTIONS." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 4 (2021): 1414–17. http://dx.doi.org/10.17762/turcomat.v12i4.1229.

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The study here is to find the activity of Hypothalamic Pituitary Adrenal axis - HPA which is a major part of human system which controls reaction to stress by finding Cortisol level and the objective is to observe the response of the system over time due to stress by applying the Gompertz - Makeham distribution. Here we develop two functions f 1(z)and f 2(z) by using the class of analytic univalent functions in the open unit disc whose coefficients are considered as Probability density function of the above mentioned distribution, for which the Subordination property, Convex and Star likeness
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15

Mohamed, Rania A. H., Abdulhakim A. Al-Babtain, I. Elbatal, Ehab M. Almetwally, and Hisham M. Almongy. "Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data." Journal of Mathematics 2022 (July 5, 2022): 1–14. http://dx.doi.org/10.1155/2022/2528583.

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The purpose of this study is to present the Marshall- Olkin extended Gompertz Makeham MOEGM lifetime distribution, which has four parameters. As a result, we will describe some of the structural elements that are introduced for this model. The maximum likelihood approach is used to estimate the model parameters, and it is well known that likelihood estimators for unknown parameters are not always available. As a result, we examine the prior distributions, which allow for prior dependence among the components of the parameter vector, as well as the Bayesian estimators derived with respect to th
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16

Clark, Jeremy S. C., Mariusz Kaczmarczyk, Zbigniew Mongiało, et al. "Skew-t Fits to Mortality Data—Can a Gaussian-Related Distribution Replace the Gompertz–Makeham as the Basis for Mortality Studies?" Journals of Gerontology: Series A 68, no. 8 (2012): 903–13. http://dx.doi.org/10.1093/gerona/gls239.

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17

Andreopoulos, Panagiotis, Kleomenis Kalogeropoulos, Alexandra Tragaki, and Nikolaos Stathopoulos. "Could Historical Mortality Data Predict Mortality Due to Unexpected Events?" ISPRS International Journal of Geo-Information 10, no. 5 (2021): 283. http://dx.doi.org/10.3390/ijgi10050283.

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Research efforts focused on developing a better understanding of the evolution of mortality over time are considered to be of significant interest—not just to the demographers. Mortality can be expressed with different parameters through multiparametric prediction models. Based on the Beta Gompertz generalized Makeham (BGGM) distribution, this study aims to evaluate and map four of such parameters for 22 countries of the European Union, over the period 1960–2045. The BGGM probabilistic distribution is a multidimensional model, which can predict using the corresponding probabilistic distributio
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18

Koleoso, Peter O., and Angela U. Chukwu. "A Weibull-Gompertz Makeham Distribution with Properties and Application to Cancer Data." Journal of Advances in Mathematics and Computer Science, December 23, 2019, 1–17. http://dx.doi.org/10.9734/jamcs/2019/v34i530223.

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The article presents an extension of the Gompertz Makeham distribution using the Weibull-G family of continuous probability distributions proposed by Tahir et al. (2016a). This new extension generates a more flexible model called Weibull-Gompertz Makeham distribution. Some statistical properties of the distribution which include the moments, survival function, hazard function and distribution of order statistics were derived and discussed. The parameters were estimated by the method of maximum likelihood and the distribution was applied to a bladder cancer data. Weibull-Gompertz Makeham distri
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19

Eraikhuemen, Innocent Boyle, Terna Godfrey Ieren, Tajan Mashingil Mabur, Mohammed Sa’ad, Samson Kuje, and Adana’a Felix Chama. "A Study on Properties and Applications of a Lomax Gompertz-Makeham Distribution." Asian Research Journal of Mathematics, November 6, 2019, 1–27. http://dx.doi.org/10.9734/arjom/2019/v15i430155.

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The article presents an extension of the Gompertz-Makeham distribution using the Lomax generator of probability distributions. This generalization of the Gompertz-Makeham distribution provides a more skewed and flexible compound model called Lomax Gompertz-Makeham distribution. The paper derives and discusses some Mathematical and Statistical properties of the new distribution. The unknown parameters of the new model are estimated via the method of maximum likelihood estimation. In conclusion, the new distribution is applied to two real life datasets together with two other related models to c
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20

Castellares, Fredy, and Artur J. Lemonte. "Comments on “an extended Gompertz-Makeham distribution with application to lifetime data”." Communications in Statistics - Simulation and Computation, November 21, 2019, 1–9. http://dx.doi.org/10.1080/03610918.2019.1693594.

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21

Tuğrul, Murat, and Ulrich K. Steiner. "Demographic consequences of damage dynamics in single-cell aging." Physical Review Research 7, no. 1 (2025). https://doi.org/10.1103/physrevresearch.7.013327.

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Aging is driven by damage accumulation leading to a decline in function over time. In single-cell systems, in addition to this damage accumulation within individuals, asymmetric damage partitioning at cell division can play a crucial role in shaping demographic aging patterns. Despite experimental single-cell studies that provide quantitative data at the molecular and demographic levels, the integration of a complementary theory explaining how cellular damage production and asymmetric partitioning propagate and influence demographic patterns is still lacking. Here, we present a generic and fle
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