Actuarial modelling of severity claims in motor insurance by fitting probability distributions: a case of Dar es salaam

Nganzi, Erick

dc.creator	Nganzi, Erick
dc.date	2018-10-15T15:43:54Z
dc.date	2018-10-15T15:43:54Z
dc.date	2017
dc.date.accessioned	2021-05-06T12:58:58Z
dc.date.available	2021-05-06T12:58:58Z
dc.identifier	Nganzi, E. (2017). Actuarial modelling of severity claims in motor insurance by fitting probability distributions: a case of Dar es salaam. Dodoma: The University of Dodoma
dc.identifier	http://hdl.handle.net/20.500.12661/499
dc.identifier.uri	http://hdl.handle.net/20.500.12661/499
dc.description	Dissertation (MSc Statistics)
dc.description	The purpose of this study was to find out the appropriate probability distributions that fit suitable to the motor insurance claims in respect of motorcycles, cars, and heavy vehicle insurance claimed amounts. The specific objectives were: to estimate the probability distributions considered, to identify appropriate model that fit best to the motor insurance claims amounts among eight distributions and to test the goodness of fit of the fitted probability distribution models. Daily data were collected from Britam Insurance Company Limited (T) from January 2007 to December 2016 of Dar es Salaam region. The estimates of parameters of the distributions were obtained by using maximum likelihood estimation method, and Kolmogorov-Sminov test statistic was used to fully assess the goodness of fit of eight probability distributions considered at 5% level of significance. Appropriate probability distribution model has been identified based on model selection criteria developed. Empirical Distribution Function (EDF) and Cumulative Distribution Function (CDF) plots were also used to visually assess the goodness of fit of the distribution models. The log likelihood values and Akaike’s information criterion were obtained and used as the selection criteria of the model that fit best the motor insurance claimed amounts. The model with large log likelihood value was considered to be the better model or the model with minimum AIC was considered to be the better model for motor insurance claimed amounts. These data were analysed by using SAS version 9.4, and SPSS version 21. The results showed that the Lognormal distribution fitted best to the motorcycle insurance claimed amounts and Inverse Gaussian distribution model fitted best to the car and heavy vehicle insurance claim amounts respectively.
dc.language	en
dc.publisher	The University of Dodoma
dc.subject	Motor insurance
dc.subject	Car insurance
dc.subject	Motorcycle insurance
dc.subject	Heavy vehicle insurance
dc.subject	Insurance claimed amounts
dc.subject	Britam Insurance Company Limited
dc.subject	Dar es salaam
dc.subject	Tanzania
dc.subject	Insurance
dc.subject	Actuarial modelling
dc.title	Actuarial modelling of severity claims in motor insurance by fitting probability distributions: a case of Dar es salaam
dc.type	Dissertation