Kayal (Probab. Eng. Inf. Sci. 30(4):640–662, 2016) first proposed generalized cumulative entropy based on lower record values. Motivated by Kayal (Probab. Eng. Inf. Sci. 30(4):640–662, 2016), recently, Tahmasebi and Eskandarzadeh (Stat. Probab. Lett. 126:164–172, 2017) proposed an extended cumulative entropy (ECE) based on kth lower record values. In this paper, we obtain some properties of ECE. We study this measure of information for the coherent systems lifetime with identically distributed components. We define the conditional ECE for the system lifetime and discuss some properties of it. We also use this idea to propose a measure of extended cumulative past inaccuracy. Finally, we propose the estimators of these measures using empirical approach. In addition, we study large sample properties of these estimators.
Introduction: Today, quality of life is one of the biggest health goals in health care and is an effective factor in the life of the elderly. So The purpose of this study was to investigate the role of life orientation and Islamic lifestyle in order to predicting the quality of elderly people life. Method: The method of this descriptive-correlational study was the statistical population of all elderly people in Bileh-e-savar city in Ardebil province in the first half of 2018. A sample of 100 people were selected through available sampling method. Then they responded to the questionnaire of Islamic lifestyle, life orientation and quality of life (SF-36). Data were analyzed using Pearson correlation and multiple regression tests. Results: The results showed that there is a positive relationship between Islamic lifestyle and optimistic life orientation with the quality of life of the elderly, but there is a negative relationship between the pessimistic life orientation and their quality of life (P>0.01). Regression analysis showed that 45% of the total variance in the quality of life was specified by the component of Islamic lifestyle and life orientation. Conclusion: This study has been Solutions for pathologists, especially elderly medicine, to promote lifestyle Islamic lifestyle , mental health and quality of life for the elderly.
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