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Applied Mathematics-A Journal of Chinese Universities  2018, Vol. 33 Issue (2): 163-    DOI: 10.1007/s11766-018-3354-x
    
Inference for a truncated positive normal distribution
Hector J. Gomez$^1$ , Neveka M. Olmos$^2$,  Hector Varela$^2$ ,  Heleno Bolfarine$^3$
$^1$ Departamento de Ciencias Matem\'aticas y F\'isicas, Facultad de Ingenier\'ia, Universidad Cat\'olica de Temuco, Temuco, Chile.\\
$^2$ Departamento de Matem\'aticas, Facultad de Ciencias B\'asicas, Universidad de Antofagasta, Antofagasta, Chile.\\
$^3$ Departamento de Estat\'istica, IME, Universidade de S\~ao Paulo, S\~ao Paulo, Brazil.
Inference for a truncated positive normal distribution
Hector J. Gomez$^1$ , Neveka M. Olmos$^2$,  Hector Varela$^2$ ,  Heleno Bolfarine$^3$
$^1$ Departamento de Ciencias Matem\'aticas y F\'isicas, Facultad de Ingenier\'ia, Universidad Cat\'olica de Temuco, Temuco, Chile.\\
$^2$ Departamento de Matem\'aticas, Facultad de Ciencias B\'asicas, Universidad de Antofagasta, Antofagasta, Chile.\\
$^3$ Departamento de Estat\'istica, IME, Universidade de S\~ao Paulo, S\~ao Paulo, Brazil.
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摘要： The main  object of this paper is to study an extension of the half normal distribution defined by adding a positive truncation to it. The new model is more flexible than the half-normal distribution  and contains the half normal distribution as a special case. Properties of this distribution, such as moments, hazard function and entropy are studied and parameters estimation is dealt with by using  moments and maximum likelihood. A real data application indicates good fit performance of the new model  when compared to other competitors in literatures.
关键词： half-normal distribution ;   ;  maximum likelihood ;   truncation    
Abstract: The main  object of this paper is to study an extension of the half normal distribution defined by adding a positive truncation to it. The new model is more flexible than the half-normal distribution  and contains the half normal distribution as a special case. Properties of this distribution, such as moments, hazard function and entropy are studied and parameters estimation is dealt with by using  moments and maximum likelihood. A real data application indicates good fit performance of the new model  when compared to other competitors in literatures.
Key words: half-normal distribution         maximum likelihood     truncation
出版日期: 2018-07-02
CLC:  62E15  
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Hector J. Gomez
Neveka M. Olmos
Hector Varela
Heleno Bolfarine

引用本文:

Hector J. Gomez, Neveka M. Olmos, Hector Varela, Heleno Bolfarine. Inference for a truncated positive normal distribution[J]. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(2): 163-.

Hector J. Gomez, Neveka M. Olmos, Hector Varela, Heleno Bolfarine. Inference for a truncated positive normal distribution. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(2): 163-.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-018-3354-x    或    http://www.zjujournals.com/amjcub/CN/Y2018/V33/I2/163

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