Characteristics of elasticity functions in economics and reliability

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 36

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شناسه ملی سند علمی:

JR_JSMTA-5-1_009

تاریخ نمایه سازی: 19 مهر 1404

چکیده مقاله:

In recent decades‎, ‎there has been a significant increase in research focused on dependability across various fields‎, ‎including survival analysis‎, ‎failure rates‎, ‎generalized measures of failure‎, ‎and related characteristics‎. ‎A strong connection exists between the generalized failure rate and the economic concept of elasticity‎. ‎‎Sensitivity analysis employs this ratio to assess how changes in an input variable affect an output variable‎. ‎We apply this ratio to evaluate the sensitivity of an output variable in response to changes in an input variable‎. ‎‎In this article‎, ‎we explain the elasticity function of an economy and its implications for reliability‎. ‎We will also explore how this function relates to dependable and unequal economic indicators‎. ‎Furthermore‎, ‎we will discuss various extensions of Lorenz curves‎, ‎which are instrumental in understanding measures of inequality‎. ‎Our focus has been on Lorenz curve elasticity and its connections to distorted and extended forms of warped curves.

نویسندگان

Zahra Behdani

Department of Statistics‎, ‎Behbahan Khatam Alanbia University of Technology‎, ‎Behbahan‎, ‎Iran

Gholam Reza Mohtashami Borzadaran

Department of Statistics‎, ‎Faculty of Mathematical Sciences‎, ‎Ferdowsi University of Mashhad‎, ‎Iran