Beta transmuted Lomax distribution with applications

Hurairah, Ahmed; Alabid, Abdelhakim

doi:10.21307/stattrans-2020-012

Cited by 3 publications

(2 citation statements)

References 28 publications

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“…where w(t) is a non-negative weight function and E(w(t)) > 0. Distinct selections of w(t)produce different WDs, that is Numerous new modifications and expansions of the Lo distribution have subsequently been developed, such as; beta Lo [21], gamma-Lo [12], Weibull Lo [27], power Lo [25], generalized Lo [5], beta transmuted Lo [19], alpha power Lo [10], truncated Lo inverse Lo [3], and distributions among others. Some recent studies about Lo distribution can be found in [8,9].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Household Income, Expenditure and Consumption Survey Research Data for North Sinai Governorate in Egypt Using Length Biased Truncated Lomax Distribution

Hassan¹,

Shawki²,

Muhammed³

2023

Stat., optim. inf. comput.

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The length biased truncated Lomax distribution is introduced in this study as a weighted form of the truncated Lomax distribution. The length biased truncated Lomax distribution’s essential distributional features are investigated. In the case of complete and type-II censored data, the maximum likelihood method is provided for estimating population parameter. The model parameter asymptotic confidence interval is calculated. To demonstrate the pattern of the estimate, a sample generation algorithm is supplied, as well as a Monte Carlo simulation analysis. We can see from the simulation research that as the censoring level is increased, the mean squared error of parameter estimates decrease’s for all given values. With increasing sample size, the mean squared error and average length of parameter estimates decrease. The estimates get increasingly accurate as the sample size grows higher, suggesting that its asymptotically unbiased. Furthermore, in all cases, the mean squared error diminishes as the sample size grows, indicating that the estimates of parameter are consistent. Modelling to medical data and the percentage of household spending on education out of total household expenditure from the household income, expenditure and consumption survey (HIECS) data are used to show the importance of the new model. The Kumaraswamy, beta, truncated power Lomax, truncated Weibull, and one parameter-beta distributions perform poorly in comparison to the suggested distribution.

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Section: Introductionmentioning

confidence: 99%

Analysis of Household Income, Expenditure and Consumption Survey Research Data for North Sinai Governorate in Egypt Using Length Biased Truncated Lomax Distribution

Hassan¹,

Shawki²,

Muhammed³

2023

Stat., optim. inf. comput.

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“…where j = Q(x)(1 + m − mQ(x)) In application to distributions, some works have been done. Examples of such are Beta transmuted gumbel [9], Beta transmuted power distribution [10] e.t.c.…”

Section: Introductionmentioning

confidence: 99%

Statistical Analysis of the Beta Transmuted Standardized Half Logistic Distribution: Properties, Estimation, and Real-Data Application

Awodutire,

Nduka,

Olosunde

2023

AJPAS

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In this paper, a new distribution called the Beta Transmuted Half Logistic Distribution is derived and studied using the Beta Transmuted-G distribution. The distribution generalizes the half logistic distribution for more flexibility. Then expressions for the moments, moment generating function, order statistic, survival function, and the hazard function were studied. Estimation of parameters of the model was done using the maximum likelihood estimation approach. Simulation studies were conducted to assess the performance of the estimates of the parameter. Furthermore, the distribution is applied to a real-life dataset, demonstrating its superior performance in terms of producing a better fit compared to its submodels. This research contributes to the field of probability distributions and provides a valuable tool for modeling and analyzing various types of data.

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Analyze and model data using a transmuted Lomax distribution

Al-Tai,

Shebib

2024

Jour. Kufa Math. Comp.

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We discussed two distributions (The Lomax Distribution and The Transmuted Lomax Distribution) and we dealt with some functions such as the PDF, CDF function, and we also discussed some statistical properties such as moments, the moment generation function, the coefficient of variation, flattening, torsion, and ordered statistics. The research concluded the importance of the Transmuted Lomax Distribution on the Lomax Distribution and on all sample sizes in the practical aspect experimental.

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Beta transmuted Lomax distribution with applications

Cited by 3 publications

References 28 publications

Analysis of Household Income, Expenditure and Consumption Survey Research Data for North Sinai Governorate in Egypt Using Length Biased Truncated Lomax Distribution

Analysis of Household Income, Expenditure and Consumption Survey Research Data for North Sinai Governorate in Egypt Using Length Biased Truncated Lomax Distribution

Statistical Analysis of the Beta Transmuted Standardized Half Logistic Distribution: Properties, Estimation, and Real-Data Application

Analyze and model data using a transmuted Lomax distribution

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