Relevant bibliographies by topics / Gompertz-Makeham distribution

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Academic literature on the topic 'Gompertz-Makeham distribution'

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

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Journal articles on the topic "Gompertz-Makeham distribution"

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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Gompertz-Makeham distribution"

1

Norström, Fredrik. "The Gompertz-Makeham distribution." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 1997. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-51351.

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This work is about the Gompertz-Makeham distribution. The distribution has been applied plenty of times. The properties of the Gompertz-Makeham distribution investigated in this work are unimodality of the Gompertz-Makeham distribution and relationship between the median value and the mean residual life time of the Gompertz-Makeham distribution. For most of the realistic set of parameter values the function is unimodal but not for all. The example used in this work gives a set of parameter values for which the function is unimodal. The relationship between the median value and the mean life ti
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Book chapters on the topic "Gompertz-Makeham distribution"

1

Andreopoulos, Panagiotis, Alexandra Tragaki, George Antonopoulos, and Fragkiskos G. Bersimis. "Properties and Dynamics of the Beta Gompertz Generalized Makeham Distribution." In The Springer Series on Demographic Methods and Population Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44695-6_18.

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