2021
DOI: 10.3390/sym13010117
|View full text |Cite
|
Sign up to set email alerts
|

On the Arcsecant Hyperbolic Normal Distribution. Properties, Quantile Regression Modeling and Applications

Abstract: This work proposes a new distribution defined on the unit interval. It is obtained by a novel transformation of a normal random variable involving the hyperbolic secant function and its inverse. The use of such a function in distribution theory has not received much attention in the literature, and may be of interest for theoretical and practical purposes. Basic statistical properties of the newly defined distribution are derived, including moments, skewness, kurtosis and order statistics. For the related mode… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

1
20
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
8

Relationship

4
4

Authors

Journals

citations
Cited by 38 publications
(29 citation statements)
references
References 35 publications
1
20
0
Order By: Relevance
“…Other similar quantile regressions and unit models recently proposed can be found in Gündüz and Korkmaz ( 2020 ), Korkmaz ( 2020a , 2020b ), Korkmaz et al. ( 2021 ).…”
Section: Introductionsupporting
confidence: 57%
“…Other similar quantile regressions and unit models recently proposed can be found in Gündüz and Korkmaz ( 2020 ), Korkmaz ( 2020a , 2020b ), Korkmaz et al. ( 2021 ).…”
Section: Introductionsupporting
confidence: 57%
“…[25] introduced the Kumaraswamy quantile regression model for the dependent variables on the (0, 1) interval. The presented idea in the study of [25] has been applied to different probability distributions by [9,11,12,14,[26][27][28][29].…”
Section: The New Quantile Regression Model Based On the Qlep Distribution For The Unit Responsementioning
confidence: 99%
“…Similarly, [8] used X = T/(T + 1) transformation on the improved second-degree Lindley (ISDL) distribution and resulting distribution was called as unit-ISDL distribution. These approaches have been used many authors such as [9][10][11][12][13][14][15][16][17][18][19] and so on.…”
Section: Introductionmentioning
confidence: 99%
“…e median is the value in the sorted sample that falls in the middle (middle quantile, q 50 th � 0.50). Interested readers may refer to studies by Koenker and Bassett [31], Koenker and Hallock [32], Koenker [33], Hao et al [34], and Korkmaz and Chesneau [35].…”
Section: Proposed Class Of Quantile Regression-ratio-type Estimatorsmentioning
confidence: 99%