Daystar University Repository
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- A collection of Class Projects and Student articles showcasing innovative ideas and diverse perspectives from our talented student community at Daystar University
- A collection of conference, workshop, seminar, proceedings, and lecture series showcasing diverse topics and cutting-edge research from faculty and staff of Daystar University.
- An archival collection chronicling the institutional history, academic achievements, and diverse heritage of Daystar University.
- A collection of Publications by faculty and staff showcasing research, academic achievements, and institutional insights of Daystar University.
- A collection of Lectures and Speeches from distinguished speakers across various disciplines of Daystar University.
Recent Submissions
The Performance of One Type Step-Wise Group Screening Designs.
(Indian Journal of Mathematics, 2004) Simwa, Richard Onyino; Manene, M. M.
In this paper, we evaluate the performance of one type step-wise group screening designs in which group-factors contain equal number of factors
in the initial step. We shall examine one type step-wise group screening designs without errors in observations, considering the possibility of cancellation of effects within group-factors. Expressions for the expected total number of runs and the expected number of active factors detected are obtained. The performance of one type step-wise group-screening designs is then compared with the performance of multistage group \ screening designs. Group screening designs have both biological and industrial applications.
Approximations of Ruin Probabilities Under Financial Constraints
(Hikari Ltd., 2020) Simwa, Richard Onyino; Onyango, Fredrick; Odiwuor, Calvine
In this paper, we investigate the approximate ruin probabilities under financial constraints (interest rate, inflation, and taxation). We formulate a risk process whose premium inflow is influenced by the economic effects of inflation and interest rate. Thereafter we invoke the Albrecher-Hipp loss-carried-forward tax scheme from which an exact formula for the ruin probability for exponentially distributed claims is derived. Finally, an explicit asymptotic formula when the claims have sub-exponential distribution is also derived using the PollaczekKhintchine formula.
On Statistical Modelling of Floods and Drought Insurance Products for Developing Countries
(Advances and Applications in Statistics, 2006) Simwa, Richard Onyino
Probabilistic models have been used to measure risk, the chance of occurrence of unfavorable events. The extent of damage may then take the form of a random variable. In this paper we follow such an approach to arrive at methods of obtaining estimates of monetary economic loss due to the risks, disasters due to the floods and drought, with application to product pricing of the relevant possible insurance products. Environmental natural disasters, which include floods and droughts, are common in the poor developing countries and may lead to destruction of property and even loss of lives. When such disasters occur, emergency funds are required to meet the immediate needs of the affected population (food, shelter, medicine, among others). The recent Tsunami disaster in East Asia, for instance, leads to urgent need of donor aid support by the affected countries. The financial support is mainly provided for by the rich developed countries. Such support could be provided before the disaster occurs and used to purchase the relevant insurance.
On The Variation of The Probability Distribution of The Future Life–Time: A Case of The Kenyan Mortality Experience.
(Biometrics & Biostatistics International Journal, 2018) Simwa, Richard Onyino
A life table is an essential tool for valuing life insurance policies and it presents the probability distribution of the future life–time of a group of lives at the various ages. They are developed by the experts with actuarial knowledge. The life table will vary with the group of lives considered in the mortality investigation. Further the variation may also prevail when the same group of lives is investigated at different time periods, due to the effect of generational change in mortality. In this paper we apply statistical inference on published life tables for the Kenyan mortality experience for the mortality investigations performed during two separate disjoint time periods, to investigate significance of the variation in the mortality as the periods of the investigation vary. It is shown that the variation in the probability distribution of the future life–time for the Kenyan mortality experience is significant. Thus we confirm, as known in practice by the actuaries, that there is a need for continuous mortality investigations and the construction of the corresponding life tables, every after some time interval, to account for the variation in mortality as generations vary.
A model for HIV infection and its application
(Far East Journal of Applied Mathematics, 2004) Simwa, Richard Onyino; Pokhariyal, G.P.
In this paper a model for HIV/AIDS (Human Immunodeficiency Virus/ Acquired Immune Deficiency Syndrome) epidemic has been developed by considering the various stages of the infection through corresponding differential equations and the boundary conditions, which are linked with the CD4 cells count in the patient’s body. Using the data from patients records different scenarios can be simulated for the development of HIV/AIDS antiretroviral drugs treatment strategy.