scholarly journals On Poisson approximations for the Ewens sampling formula when the mutation parameter grows with the sample size

2019 ◽  
Vol 29 (2) ◽  
pp. 1188-1232 ◽  
Author(s):  
Koji Tsukuda
Keyword(s):  
Sample Size ◽  
Ewens Sampling Formula ◽  
Sampling Formula ◽  
Poisson Approximations

Estimating the large mutation parameter of the Ewens sampling formula

2017 ◽  
Vol 54 (1) ◽  
pp. 42-54 ◽  
Author(s):  
Koji Tsukuda
Keyword(s):  
Maximum Likelihood ◽  
Sample Size ◽  
Maximum Likelihood Estimator ◽  
Limit Theorems ◽  
Asymptotic Properties ◽  
Likelihood Estimator ◽  
Ewens Sampling Formula ◽  
Sampling Formula

AbstractWe derive some limit theorems associated with the Ewens sampling formula when its parameter is increasing together with a sample size. Moreover, the limit results are applied in order to investigate asymptotic properties of the maximum likelihood estimator.

scholarly journals Layanan Supervisi, Kepemimpinan Kepala Sekolah, dan Kompetensi Guru Madrasah Aliyah di Kota Kendari

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Herlina Herlina
Keyword(s):  
Data Analysis ◽  
Sample Size ◽  
Principal Leadership ◽  
Significant Influence ◽  
Likert Scale ◽  
Minimum Sample Size ◽  
Sampling Formula ◽  
Academic Services ◽  
Research Show ◽  
Test Correlation

ABSTRACT This study aims to assess and analyze (1) the level of academic supervision services perceived by the teachers, (2) the effectiveness level of principal leadership perceived by the teachers, (3) performance of the teachers, (4) the significant correlation between academic supervision services and the performance of the teachers, and (5) the significant correlation between the principal’s leadership and the performance of the teachers of Madrasah Aliyah in Kendari City. The population of this research are all teachers of the Madrasah Aliyah in Kendari City which amount to 204 teachers who are government employyees. The sample of the research is determined by using the formula of minimum sampling. From the calculation with the minimum sampling formula known to the population of 204 teachers, a minimum sample size of 64 teachers is obtained. The data on each research variable is collected by using Likert scale questionnaires. The data analysis is conducted using the Z test, correlation, and regression. The results of this research show that (1) the supervision of academic services perceived by the teachers of Madrasah Aliyah in Kendari is quite high, (2) the effectiveness of principal leadership perceived by the teachers of Madrasah Aliyah in Kendari is quite high, (3) the competence of the teachers of Madrasah Aliyah in Kendari City is quite high, (4) there is a significant correlation between the service of academic supervision and the competence of the teachers of Madrasah Aliyah in Kendari City, (5) there is a significant correlation between the leadership of the principal and the competence of the teachers of Madrasah Aliyah in Kendari City, and (6) there is a significant influence of the academic supervision service and the principal’s leadership on the competence of the teachers of Madrasah Aliyah in Kendari City.Keywords: Academic supervision service, principal leadership, teachers’ competence

The infinitely-many-neutral-alleles diffusion model by ages

1990 ◽  
Vol 22 (01) ◽  
pp. 1-24 ◽  
Author(s):  
S. N. Ethier
Keyword(s):  
Diffusion Model ◽  
Probability Distributions ◽  
Ewens Sampling Formula ◽  
Sample Paths ◽  
Sampling Formula ◽  
Frequent Allele

We discuss two formulations of the infinitely-many-neutral-alleles diffusion model that can be used to study the ages of alleles. The first one, which was introduced elsewhere, assumes values in the set of probability distributions on the set of alleles, and the ages of the alleles can be inferred from its sample paths. We illustrate this approach by proving a result of Watterson and Guess regarding the probability that the most frequent allele is oldest. The second diffusion model, which is new, assumes values in the set of probability distributions on the set of pairs (x, a), where x is an allele and a is its age. We illustrate this second approach by proving an extension of the Ewens sampling formula to age-ordered samples due to Donnelly and Tavaré.

A stability property of the Ewens sampling formula

1983 ◽  
Vol 20 (03) ◽  
pp. 449-459
Author(s):  
Stanley Sawyer
Keyword(s):  
Population Size ◽  
Error Bound ◽  
Mutation Rate ◽  
Stability Property ◽  
Ewens Sampling Formula ◽  
Sampling Formula ◽  
Deleterious Alleles

An error bound for convergence to the Ewens sampling formula is given where the population size or mutation rate may vary from generation to generation, or the population is not yet at equilibrium. An application is given to a model of Hartl and Campbell about selectively-equivalent subtypes within a class of deleterious alleles, and a theorem is proven showing that the size of the deleterious class stays within bounds sufficient to apply the first result. Generalizations are discussed.

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