The Adjusted Log-logistic Generalized Exponential Distribution with Application to Lifetime Data

Okorie, Idika E.; Akpanta, A. C.; Ohakwe, J.; Chikezie, D. C.; Onyemachi, Chris U.; O., Eze Chukwubuikem

doi:10.5539/ijsp.v6n4p1

Cited by 3 publications

(2 citation statements)

References 7 publications

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“…For different parameter settings and sample sizes, some simulation studies compare the performance of the new lifetime model. The authors of [36] introduced a new generator of probability distribution, the adjusted log-logistic generalized (ALLoG) distribution, and a new extension of the standard one-parameter exponential distribution called the adjusted log-logistic generalized exponential (ALLoGExp) distribution. Using the MLE method to estimate the model parameters, the importance and flexibility of the ALLoGExp distribution were demonstrated with a real and uncensored lifetime data set, and its fit was compared with five other exponential-related distributions.…”

Section: Introductionmentioning

confidence: 99%

A Generalized Log Gamma Approach: Theoretical Contributions and an Application to Companies’ Life Expectancy

Dias Gonçalves,

Ferreira Gomes,

Rubio

et al. 2023

Mathematics

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The survival of a company has been a topic of growing interest in the scientific community. Measuring the life expectancy of Portuguese telecommunications companies using generalized log-gamma (GLG) distribution is a new research endeavor. Regarding the new theoretical contributions, original expressions for the moments and mode of the GLG distribution are presented. In this empirical study, data on the entrepreneurial fabric in the Information and Communication sector from 2004 to 2018, when some companies were born or died, were used. In addition to the GLG, three other statistical distributions with two parameters are analyzed: gamma, Weibull, and log-normal. Maximum likelihood parameters and confidence intervals for survival probabilities are estimated and compared. The Akaike information criterion is used to compare the performance of the four estimated models. The results show that GLG distribution is a promising solution to assess the resilience and longevity of a firm.

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Section: Introductionmentioning

confidence: 99%

A Generalized Log Gamma Approach: Theoretical Contributions and an Application to Companies’ Life Expectancy

Dias Gonçalves,

Ferreira Gomes,

Rubio

et al. 2023

Mathematics

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“…Previous researches have used univariate time series models to forecast weather patterns, including rainfall and temperature, by only considering past values of the variables being studied. These models were used by researchers such as Samuel and Adam (2020), Okorie et al (2015), Mahsin et al (2012), Seyid et al (2011), Jibril et al (2019, Emmanuel and Bakari (2015), Peng et al (2018), andWiredu et al (2013).This study attempts to investigate the forecast performance of SARIMA model and SARIMAX model with temperature and humidity as exogenous variables which by intuition have influence on the response variable (rainfall). The performance of the models will be ascertained using different statistical measures such as AIC, BIC, R 2 and so on.…”

Section: Introductionmentioning

confidence: 99%

On the Performance of Sarima and Sarimax Model in Forecasting Monthly Average Rainfall in Kogi State, Nigeria

Ibrahim,

Musa

2023

FJS

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Forecasting monthly rainfall is very important in Kogi state for better approach to flood management and also plays a pivotal role in agriculture which remains a significant factor in Nigeria’s economy. Advanced time series univariate models such as Seasonal Autoregressive Integrated Moving Average (SARIMA) models are usually employed in modelling and forecasting rainfall in Nigeria due to their non-linear pattern and spatiotemporal variation. Few studies have attempted to investigate the influence of other climatic factors in modelling and prediction of rainfall pattern. This study examines the performance of a univariate seasonal ARIMA and seasonal ARIMA which uses monthly temperature and relative humidity as exogenous factors otherwise known as SARIMAX model in forecasting monthly average rainfall in Lokoja, the capital of Kogi state. The study uses monthly data on rainfall, temperature and relative humidity spanning from 2010 to 2022 obtained from Nigeria Meteorological Agency NiMet, Lokoja station. The series were appropriately differenced to attain stationarity. The plots of autocorrelation function (ACF) and partial autocorrelation function (PACF) were used to select some tentative models whose parameters would be estimated. The most suitable SARIMA model [SARIMA was chosen based on maximum Coefficient of Determination , and the minimum Akaike information criterion (AIC). However, SARIMAX model outperformed SARIMA model based on the criteria earlier highlighted. SARIMAX model was therefore recommended for modelling and forecasting monthly average rainfall in Kogi state.

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A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

Mutairi

Iqbal

Arshad

et al. 2022

Journal of Mathematics

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In this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. Numerous complementary statistical properties are derived and discussed in detail for the newly exponentiated power function (EPF) distribution. All possible shapes of the probability density and hazard rate functions are sketched for selected values of parameters. Six accredited estimation methods are discussed, and their performance is assessed and compared by a simulation study. The applicability of the new class is evaluated by analyzing the automotive engineering sector data.

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The Adjusted Log-logistic Generalized Exponential Distribution with Application to Lifetime Data

Cited by 3 publications

References 7 publications

A Generalized Log Gamma Approach: Theoretical Contributions and an Application to Companies’ Life Expectancy

A Generalized Log Gamma Approach: Theoretical Contributions and an Application to Companies’ Life Expectancy

On the Performance of Sarima and Sarimax Model in Forecasting Monthly Average Rainfall in Kogi State, Nigeria

A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data

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