A generalization of mosteller's test

A generalization of Mosteller's test for slippage of the location parameter is proposed. The distribution of the test statistic under the null hypothesis is obtained and the power of the test is compared with that of Mosteller's test     

The Role of Parental Indulgence and Economic Stress in Life Satisfaction: Differential Perceptions of Parents and Adolescents

The purpose of this study was to determine if there were differences between adolescents and parents in their perceptions of parental indulgence, stress (economic and life), and life satisfaction. In addition, using the conceptual frameworks of family ecosystems and developmental theory, the relationships between the three types of parental indulgence (soft structure, overnurturance, and giving too much), economic stress, life stress, and life satisfaction were examined for parents and adolescent children. Findings indicated that adolescents perceived higher levels of stress and soft structure as compared to their parents, whereas parents perceived higher levels of economic stress. Additionally, each type of parental indulgence affected parent and adolescent life stress and life satisfaction differently. Implications for research and practice are discussed.     

Estimation of the parameters of symmetric stable ARMA and ARMA–GARCH models

In this article, we first propose the modified Hannan–Rissanen Method for estimating the parameters of autoregressive moving average (ARMA) process with symmetric stable noise and symmetric stable generalized autoregressive conditional heteroskedastic (GARCH) noise. Next, we propose the modified empirical characteristic function method for the estimation of GARCH parameters with symmetric stable noise. Further, we show the efficiency, accuracy and simplicity of our methods with Monte-Carlo simulation. Finally, we apply our proposed methods to model the financial data.     

A note on the mean of the order statistics based on independent exponential random variables

Upper and lower bounds are obtained on the mean of the r-th smallest order statistics based on n independent exponential random variables under a certain condition on r.