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ON SOME MODELS LEADING TO QUASI-NEGATIVE-BINOMIAL DISTRIBUTION
SHEIKH BILAL,ANWAR HASSAN 한국산업응용수학회 2007 Journal of the Korean Society for Industrial and A Vol.11 No.2
In this paper, we explore some interesting models of the quasi-negative-binomial distribution based on difference differential equations applicable to theory of microorganisms and the situations like that. Some characterizations based on conditional distributions and damage process have been obtained. Further, the distribution of number of accidents as the quasi-negative-binomial distribution in the light of Irwin's theory of "proneness-liability" model has been derived. Finally, the proposed model (QNBD) has been applied to study the Shunting accidents, borne injuries, and strikes in industries.
On Some Models Leading To Quasi-Negative-Binomial Distribution
( Anwar Hassan ),( Sheikh Bilal ) 한국산업응용수학회(구 한국산업정보응용수학회) 2007 한국산업정보응용수학회 Vol.11 No.2
In this paper, we explore some interesting models of the quasi-negative-binomial distribution based on difference differential equations applicable to theory of microorganisms and the situations like that. Some characterizations based on conditional distributions and damage process have been obtained. Further, the distribution of number of accidents as the quasi-negative-binomial distribution in the light of Irwin`s theory of "proneness-liability" model has been derived. Finally, the proposed model (QNBD) has been applied to study the Shunting accidents, home injuries, and strikes in industries.
On Estimation Of Negative Polya-Eggenberger Distribution And Its Applications
( Anwar Hassan ),( Sheikh Bilal ) 한국산업응용수학회(구 한국산업정보응용수학회) 2008 한국산업정보응용수학회 Vol.12 No.2
In this paper, the negative Polya-Eggenberger distribution has been introduced by compounding negative binomial distribution with beta distribution of I-kind which generates a number of univariate contagious or compound (or mixture of) distributions as its particular cases. The distribution is unimode, over dispersed and all of its positive and negative integer moments exist. The difference equation of the proposed model shows that it is a member of the Ord`s family of distribution. Some of its interesting properties have been explored besides different methods of estimation been discussed. Finally, the parameters of the proposed model have been estimated by using a computer programme in R-software. Application of the proposed model to some data, available in the literature, has been given and its goodness of fit demonstrated.
ON ESTIMATION OF NEGATIVE POLYA-EGGENBERGER DISTRIBUTION AND ITS APPLICATIONS
ANWAR HASSAN,SHEIKH BILAL 한국산업응용수학회 2008 Journal of the Korean Society for Industrial and A Vol.12 No.2
In this paper, the negative Polya-Eggenberger distribution has been introduced by compounding negative binomial distribution with beta distribution of I-kind which generates a number of univariate contagious or compound (or mixture of) distributions as its particular cases. The distribution is unimode, over dispersed and all of its positive and negative integer moments exist. The difference equation of the proposed model shows that it is a member of the Ord's family of distribution. Some of its interesting properties have been explored besides different methods of estimation been discussed. Finally, the parameters of the proposed model have been estimated by using a computer programme in R-software. Application of the proposed model to some data, available in the literature, has been given and its goodness of fit demonstrated.
Mir, Manzoor R.,Shabir, Nadeem,Wani, Khursheed A.,Shaffi, Sheikh,Hussain, Ishraq,Banday, Manzoor A.,Chikan, Naveed A.,Bilal, S.,Aejaz, Sheikh Asian Pacific Journal of Cancer Prevention 2012 Asian Pacific journal of cancer prevention Vol.13 No.1
The aim of this study was to evaluate the methylation status of three important cancer related genes viz. p16, E-cadherin and hMLH1 promoters and to associate the findings with specific dietary habits in Kashmiris, a culturally distinct population in India, with gastric cancer. The study subjects were divided into three age groups viz. 0-30yrs ($1^{st}$), 31-60yrs ($2^{nd}$) and 61-90yrs ($3^{rd}$). A highly significant association between the intake of local hot salted tea in $2^{nd}$ (p=0.001) and $3^{rd}$ (p=0.009) age groups was observed with the promoter hypermethylation of E cadherin. Again a highly significant association between the aberrant methylation of hMLH1 (p=0.000) and p16 (p=0.000) promoters and the intake of local hot salted tea was observed in the $2^{nd}$ age group of gastric cancer patients. The intake of sun-dried food was also significantly associated with the promoter hypermethylation of E cadherin (p=0.003) and p16 (p=0.015) genes in $3^{rd}$ age group. The results of the present study suggest a close association between the aberrant methylation of p16, E-cadherin and hMLH1 promoters and the intake of local hot salted tea and sun-dried foods in Kashmiri population.