On Central Limit Theory For Statistically Nonindependent And Nonidentical Variables

Date

1982

Author

Şahinoğlu, Mehmet

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This paper investigates the centraI limit property of random variables (r.v.) of interest which are of non independent and n on identical nature. The usual independence and identicality (i.i.d.) of random variables (r.v.s) to facilitate easy access to the formulation of asymptotic normal distribution are not present, however, new ideas and constraints are presented to utilize the asymptotic normality. The variables of interest are the frequency of loss of load and the average duration of loss load. Through he asymptotics and numerical integration schemes, one develops the probability distribution functions (p.d.f/s) of these power system reliability indices.

Subject Keywords

Central Limit Theory, Non iid's, Frequency and Average Duration p.d.f's (probability distribution functions)

URI

https://hdl.handle.net/11511/112403

Collections

Department of Statistics, Article