Browsing by Author "Onyango-Otieno., Vitalis"

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    A Fraud investigative and detective framework in the motor insurance industry: a Kenyan perspective
    Kisaka, George Ngosiah; Onyango-Otieno., Vitalis
    Insurance fraud is a serious and growing problem, with fraudsters’ always perfecting their schemes to avoid detection by the basic approaches. This has caused a rise in fraudulent claims that get paid and increased loss ratios for insurance firms thereby diminishing profitability and threatening their very existence. There is widespread recognition that traditional approaches to tackling fraud are inadequate. Studies of insurance fraud have typically focused upon identifying characteristics of fraudulent claims and putting in place different measures to capture them. This thesis proposes an integrated framework to curtail insurance fraud in the Kenyan insurance industry. The research studied existing fraud detection and investigation expertise in depth. The research methodology identified two available theoretical frameworks, the Bayesian Inference Approach and the Mass Detection Tool (MDT). These were compared to comprehensive motor insurance claims fraud management with respect to the insurance industry in Kenya. The findings show that insurance claims’ fraud is indeed prevalent in the Kenyan industry. Sixty five percent of claims processing professionals deem the motor segment as one of the most fraud prone yet a paltry 15 percent of them use technology for fraud detection. This is despite the fact that significant strides have been made in developing systems for fraud detection. These findings were used to determine and propose an integrated ensemble motor insurance fraud detection framework for the Kenyan insurance industry. The proposed framework built up on the mass detection tool (MDT) and provides a solution for preventing, detecting and managing claims fraud in the motor insurance line of business within the Kenyan insurance industry.
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    Laguerre Polynomials and singular differential operators
    (Indian Journal of Pure and Applied Mathematics, ) Onyango-Otieno., Vitalis
    This paper is concerned with the connections between the orthogonal polynomials and the differential operators generated by the Laguerre differential equation of Ten in the space L' (0, w ). However, for the left definite case, a suitably w determined resolvent function Q is used to define a bounded self-adjoint operator A, whose inverse is the required self-adjoint “differential” operator 5m in the space H 2M1 (0, 00). In both cases the spectra of Tat and Sm are shown to be discrete and the corresponding eigenvectors turn out to be the orthogonal polynomials of Laguerre. These results provide an alternative proof of the completeness of the Laguerre polynomials in the spaces L‘: (0,00) and ).