Maximal inequalities for partial sums of independent random vectors with multi dimensional time parameters

We obtain upper and lower bounds on the distribution of the partial sums constructed from a multi-dimensional array of independent random vectors. These bounds include, among others, generalizations of some of the well known classical inequalities such as the converse Kolmogorov and the Skorokhod-Ottaviani maximal inequalities.     

The Effectiveness of Fisher’s Rebuilding Group Intervention on Divorce Adjustment and General Health of Iranian Divorced Women

This research explores the effects of participating in the Rebuilding Seminar on postdivorce adjustment and the general health of divorced women in Arak, Iran. For this quasi-experimental study, 15 participants were recruited through convenience sampling. Prior to the participation in group intervention, participants were asked to complete a demographic questionnaire, the Fisher Divorce Adjustment Scale (FDAS), and the General Health Questionnaire (GHQ–28). Participants then completed the 10 weekly, 2-hour group intervention program. After the completion of the group intervention, postintervention questionnaires were administered. Results indicate that this particular educational program affected adjustment in participants on all subscales of the FDAS, except for social self-worth. The results also suggest that the intervention program was effective on all subscales of the GHQ–28, except for somatic symptoms. Due to numerous changes in the life of divorced women and the stressful nature of divorce, designing and implementing effective intervention plans seems necessary and constructive.     

On the maximal inequalities for the average of pairwise i.i.d. random variables

We obtain two sided inequalities for the tail of the maximal function of the averages of a multiple sequence of pairwise i.i.d. random variables taking values in a separable Banach space. We then use the results to establish a necessary and sufficient con¬dition, in terms of the common distribution of the norm of the random variables, for the maximal function to be in L , 1< p << &z.rdang;     

Examining the Reliability and Validity of the Fisher Divorce Adjustment Scale: The Persian Version

This study was an attempt to determine the factor structure, reliability, validity, and adaptation of the Fisher Divorce Adjustment Scale (FDAS) for Iranian divorced individuals. The primary rationale for this study was the lack of such an instrument in an Iranian context to help researchers and therapists determine postdivorce adjustment and distinguish those in need of receiving psychological help. Participants of this study were 486 individuals (49.5% men, 50.5% women) who were divorced and were selected from the available population. Participants were asked to complete a sociodemographic questionnaire, the FDAS (Fisher, 1978), the Satisfaction With Life Scale (SWLS; Diener, Emmons, Larsen, & Griffin, 1985), and the General Health Questionnaire (GHQ; Ghanbarnejad & Turki, 2013). The results showed that the internal consistency of FDAS using Cronbach’s alpha was .93 and the split-half coefficient was .89, indicating fine consistency. Also, the internal consistency of FDAS subscales measuring self-worth, disentanglement from the ex-partner, anger, grief, social trust, and social self-worth was .81, .86, .89, .88, .86, and .69, respectively, using Cronbach’s alpha. Data analysis shows an adequate convergent validity with the SWLS and GHQ. It can be concluded that the FDAS has an acceptable factor structure, reliability, and validity, and can be used in Iran and other Persian-speaking countries.