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STOCHASTIC EQUIVALENCE SCALES IN LOG-NORMAL DISTRIBUTIONS OF EXPENDITURES

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Kot S. M.

Metody Ilościowe w Badaniach Ekonomicznych

2013

vol. 14

issue 1

276-282

In the paper, the properties of the stochastic equivalence scales (SES) are analysed when expenditure distributions are log-normal. The SES provides the equivalent distribution of expenditures when the population of households is heterogeneous with respect to such attributes as household size, demographic composition, etc. For log-normal expenditure distributions, the non-parametric SES deflators are proportional to the ration of geometric means in compared distributions. The statistical analysis of expenditure distributions for Poland in the years 2005-2010 shows that these deflators perform quite well.

Comparing particulate matter dispersion in Thailand using the Bayesian Confidence Intervals for ratio of coefficients of variation

70%

Thangjai W., Niwitpong S.

Statistics in Transition new series

2020

vol. 21

issue 5

41-60

Recently, harmful levels of air pollution have been detected in many provinces of Thailand. Particulate matter (PM) contains microscopic solids or liquid droplets that are so small that they can be inhaled and cause serious health problems. A high dispersion of PM is measured by a coefficient of variation of log-normal distribution. Since the log-normal distribution is often used to analyse environmental data such as hazardous dust particle levels and daily rainfall data. These data focus the statistical inference on the coefficient of variation. In this paper, we develop confidence interval estimation for the ratio of coefficients of variation of two log-normal distributions constructed using the Bayesian approach. These confidence intervals were then compared with the existing approaches: method of variance estimates recovery (MOVER), modified MOVER, and approximate fiducial approaches using their coverage probabilities and average lengths via Monte Carlo simulation. The simulation results show that the Bayesian confidence interval performed better than the others in terms of coverage probability and average length. The proposed approach and the existing approaches are illustrated using examples from data set PM10 level and PM2.5 level in the northern Thailand.

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1 Metody Ilościowe w Badaniach Ekonomicznych

1 Statistics in Transition new series

1 Kot S. M.

1 Niwitpong S.

1 Thangjai W.

1 2020

1 2013

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STOCHASTIC EQUIVALENCE SCALES IN LOG-NORMAL DISTRIBUTIONS OF EXPENDITURES

Comparing particulate matter dispersion in Thailand using the Bayesian Confidence Intervals for ratio of coefficients of variation