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Full-Text Articles in Statistics and Probability
Interval Estimation For The Ratio Of Percentiles From Two Independent Populations., Pius Matheka Muindi
Interval Estimation For The Ratio Of Percentiles From Two Independent Populations., Pius Matheka Muindi
Electronic Theses and Dissertations
Percentiles are used everyday in descriptive statistics and data analysis. In real life, many quantities are normally distributed and normal percentiles are often used to describe those quantities. In life sciences, distributions like exponential, uniform, Weibull and many others are used to model rates, claims, pensions etc. The need to compare two or more independent populations can arise in data analysis. The ratio of percentiles is just one of the many ways of comparing populations. This thesis constructs a large sample confidence interval for the ratio of percentiles whose underlying distributions are known. A simulation study is conducted to evaluate …
Estimating The Difference Of Percentiles From Two Independent Populations., Romual Eloge Tchouta
Estimating The Difference Of Percentiles From Two Independent Populations., Romual Eloge Tchouta
Electronic Theses and Dissertations
We first consider confidence intervals for a normal percentile, an exponential percentile and a uniform percentile. Then we develop confidence intervals for a difference of percentiles from two independent normal populations, two independent exponential populations and two independent uniform populations. In our study, we mainly focus on the maximum likelihood to develop our confidence intervals. The efficiency of this method is examined via coverage rates obtained in a simulation study done with the statistical software R.