Inference for a truncated positive normal distribution

Gómez, Héctor W.; Olmos, Neveka M.; Varela, Héctor; Bolfarine, Heleno

doi:10.1007/s11766-018-3354-x

Cited by 10 publications

(5 citation statements)

References 14 publications

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“…In this section, we assess the performance of the ML estimators for the TPS distribution in finite samples. Since the normal distribution was studied in Gómez et al [19], we focus here on the logistic and Cauchy models. We examined two values for σ, namely, 1 and 10, as well as four values for λ, which were 0.5, 1, 2 and 3.…”

Section: Simulationmentioning

confidence: 99%

“…In this context, a key tool is presented, which significantly improves the analysis of truncated distributions: the R package "tpn". The "tpn" package allows the application of four particular cases of truncated distributions: Truncated Positive Laplace (TPLa), Truncated Positive Logistic (TPL), Truncated Positive Cauchy (TPC) and, finally, Truncated Positive Normal (TPN); this latter was previously studied by Gómez et al [19]. What sets "tpn" apart is its ability to assist in the selection of the optimal model among these four particular cases by using fitting criteria, providing a valuable tool for researchers and practitioners working in data analysis and statistical modeling.…”

Section: Introductionmentioning

confidence: 99%

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A Family of Truncated Positive Distributions

Gómez,

Santoro,

Barranco-Chamorro

et al. 2023

Mathematics

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In this paper, a new family of continuous distributions with positive support is introduced. This family is generated by a truncation of the family of univariate symmetrical distributions. In this new family of distributions, general properties, such as moments, asymmetry and kurtosis coefficients, are derived. Particular cases of interest based on the normal, logistic, Laplace and Cauchy models are discussed in depth. The estimation of parameters is carried out by applying moments and maximum likelihood methods. Also, a simulation study was conducted to illustrate the good performance of estimators. An application to the Survival Times (in days) of Guinea Pigs dataset is included, where the special cases of distributions in this family are fitted. The option which provides the best fit is ultimately chosen. An R package, called “tpn”, has been implemented, which includes the relevant cases of interest in this family.

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Section: Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Family of Truncated Positive Distributions

Gómez,

Santoro,

Barranco-Chamorro

et al. 2023

Mathematics

Self Cite

View full text Add to dashboard Cite

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“…However, in both cases the problem is reduced to a unidimensional maximization. For details see Cooray and Ananda [9] and Gómez et al [13], respectively.…”

Section: Likelihood Ratio Testmentioning

confidence: 99%

“…This model was named the generalized half-normal (GHN) distribution. An alternative way to extend the HN model was introduced by Gómez et al [13] considering a normal distribution with mean and standard deviation µ and σ, respectively, truncated to the interval (0, +∞) and considering the reparametrization λ = µ/σ. This model was named the truncated positive normal (TPN) distribution with density function given by…”

Section: Introductionmentioning

confidence: 99%

Generalized Truncation Positive Normal Distribution

2019

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In this article we study the properties, inference, and statistical applications to a parametric generalization of the truncation positive normal distribution, introducing a new parameter so as to increase the flexibility of the new model. For certain combinations of parameters, the model includes both symmetric and asymmetric shapes. We study the model’s basic properties, maximum likelihood estimators and Fisher information matrix. Finally, we apply it to two real data sets to show the model’s good performance compared to other models with positive support: the first, related to the height of the drum of the roller and the second, related to daily cholesterol consumption.

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“…In this section, we present two applications to illustrate the performance of the TPN model compared with other usual distributions in the literature, such as the Weibull, gamma, GHN, Birnbaum–Saunders (BS, [ 24 , 25 ]),

-Birnbaum–Saunders (

-BS, [ 26 ]), epsilon half-normal (EHN, [ 7 ]), power half-normal (PHN, [ 27 ]) and truncated positive normal (TN, [ 28 ]) models. Model comparison is implemented by using the AIC ([ 29 ]).…”

Section: Real Data Illustrationmentioning

confidence: 99%

Truncated Power-Normal Distribution with Application to Non-Negative Measurements

Castillo

Gallardo

Bolfarine

et al. 2018

Entropy

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This paper focuses on studying a truncated positive version of the power-normal (PN) model considered in Durrans (1992). The truncation point is considered to be zero so that the resulting model is an extension of the half normal distribution. Some probabilistic properties are studied for the proposed model along with maximum likelihood and moments estimation. The model is fitted to two real datasets and compared with alternative models for positive data. Results indicate good performance of the proposed model.

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Inference for a truncated positive normal distribution

Cited by 10 publications

References 14 publications

A Family of Truncated Positive Distributions

A Family of Truncated Positive Distributions

Generalized Truncation Positive Normal Distribution

Truncated Power-Normal Distribution with Application to Non-Negative Measurements

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