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Panu Thongchan. The modified hyperbolic secant distribution. Doctoral Degree(Statistic). Kasetsart University. Office of the University Library. : Kasetsart University, 2017.
The modified hyperbolic secant distribution
Name: Panu Thongchan
Classification :.LCCS: QA342
LCSH:
Logarithms
LCSH:
Exponential functions
Abstract:
The aims of this thesis are to develop and apply new probability distributions, the differential equation is employed to develop these probability distributions. The developed probability distributions in this thesis are modified hyperbolic secant, symmetry modified hyperbolic secant and multimodal modified hyperbolic secant distributions. Some probability functions are included, such as, probability density, cumulative density, survival and hazard functions. Some mathematical properties are discussed, such as, Laplace transform, and moment generating function. The parameter estimation of the developed distributions based on maximum likelihood estimation technique is derived. Some applications of the developed distributions to real datasets are illustrated. The finding results, we found that the modified hyperbolic secant distribution presented the skew distribution and shift location of distribution, the symmetry modified hyperbolic secant distribution presented the symmetrical and shift location of distribution and the multimodal modified hyperbolic secant distribution provided the extended unimodal of modified hyperbolic secant distribution. The usefulness of the developed distributions are risk analysis, classification, and clustering. Finally, the decision making based on these developed distributions may be applied.
Kasetsart University. Office of the University Library
Address:
Bangkok
Email:
tdckulib@ku.ac.th
Name: Winai Bodhisuwan
Role:
Thesis Advisor
Created:
2017
Modified:
2023-06-21
Issued:
2023-06-21
วิทยานิพนธ์/Thesis
application/pdf
URL: https://kasetsart.idm.oclc.org/login?url=https://www.lib.ku.ac.th/KUthesis/2560/panu-tho-all.pdf
CallNumber:
QA342.P36
eng
DegreeName: Doctor of Philosophy
Level: Doctoral Degree
Descipline: Statistic
Grantor: Kasetsart University
©copyrights Kasetsart University
RightsAccess:
ใช้เวลา
0.020731 วินาที
Panu Thongchan
| Title | Contributor | Type |
|---|---|---|
| A modified hyperbolic secant distribution
มหาวิทยาลัยสงขลานครินทร์. สำนักทรัพยากรการเรียนรู้คุณหญิงหลง อรรถกระวีสุนทร Panu Thongchan;Winai Bodhisuwan | บทความ/Article | |
| The modified hyperbolic secant distribution
มหาวิทยาลัยเกษตรศาสตร์ Panu Thongchan | Winai Bodhisuwan | วิทยานิพนธ์/Thesis |
Winai Bodhisuwan