Maximum Likelihood Estimation of Parameters for Poisson-exponential Distribution Under Progressive Type I Interval Censoring
Peter Tumwa Situma,
Leo Odongo
Issue:
Volume 9, Issue 2, March 2020
Pages:
14-20
Received:
13 March 2020
Accepted:
10 April 2020
Published:
23 April 2020
Abstract: This paper considers the problem of estimating the parameters of Poisson-Exponential (PE) distribution under progressive type-I interval censoring scheme. PE is a two-parameter lifetime distribution having an increasing hazard function. It has been applied in complementary risks problems in latent risks, that is in scenarios where maximum lifetime values are observed but information concerning factors accounting for component failure is unavailable. Under progressive type-I interval censoring, observations are known within two consecutively pre-arranged times and items would be withdrawn at pre-scheduled time points. This scheme is most suitable in those cases where continuous examination is impossible. Maximum likelihood estimates of Poisson-Exponential parameters are obtained via Expectation-Maximization (EM) algorithm. The EM algorithm is preferred as it has been confirmed to be a more superior tool when dealing with incomplete data sets having missing values, or models having truncated distributions. Asymptotic properties of the estimates are studied through simulation and compared based on bias and the mean squared error under different censoring schemes and parameter values. It is concluded that for an increasing sample size, the estimated values of the parameters tend to the true value. Among the four censoring schemes considered, the third scheme provides the most precise and accurate results followed by fourth scheme, first scheme and finally the second scheme.
Abstract: This paper considers the problem of estimating the parameters of Poisson-Exponential (PE) distribution under progressive type-I interval censoring scheme. PE is a two-parameter lifetime distribution having an increasing hazard function. It has been applied in complementary risks problems in latent risks, that is in scenarios where maximum lifetime ...
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Assessing the Impact of Cafeteria Food Related Problems on the Academic Achievement of Students in Debre Berhan University
Bezarede Mekonnen,
Tadesse Ayele
Issue:
Volume 9, Issue 2, March 2020
Pages:
21-26
Received:
9 October 2019
Accepted:
15 April 2020
Published:
28 April 2020
Abstract: Education is a process through which mankind transmit experience, new findings and value accumulate over time with the aim of individuals and societies, to make all around participation in the development process. Sufficient healthy intake of food is essential to brain function. Moreover, maximizing brain function is a prime factor in seizing appropriate cognitive capability for example, ability to focus, comprehension, evaluation, and application in learning. Therefore, food is advisable take account for quality and stuffiness of food to protect our students from different infection and declining on their academic performance. The study was trying to assess the impact of Debre Berhan university cafeteria food related problems on the academic achievement of students. The general objective of the study is to analyze statistically the impact of food related problems on academic achievement of students. The study used well organized questionnaire and the source of data is primary data which will done by direct contact of respondents and secondary data which will be obtained from the registrar of Debre Berhan university. The collected data is analyzed by using descriptive and inferential statistics. The sample size determination is made by using statistical formula. Descriptive statistics and multiple linear regression analysis is applied to examine the relationship between the dependent variable academic achievement and food related problem independent variables. Multiple linear regression model is a mathematical equation that provides prediction of the value of dependent variable based on known value of independent variables. The analysis of multiple linear regression revealed that the academic achievement of students was mostly affected by adequacy of food supply, quality of cafeteria sanitation, health related problem, food sanitation and personal hygiene of cafeteria workers, time of cafeteria and those factors affect the academic achievement of students.
Abstract: Education is a process through which mankind transmit experience, new findings and value accumulate over time with the aim of individuals and societies, to make all around participation in the development process. Sufficient healthy intake of food is essential to brain function. Moreover, maximizing brain function is a prime factor in seizing appro...
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