Interval Estimation for Topp-Leone Generated Family of Distributions based on Dual Generalized Order Statistics

SYNOPTIC ABSTRACT

In this article, we study the interval estimation of the parameters associated with a family of distributions, generated by Topp-Leone distribution, based on dual generalized order statistics (dgos). We provide the confidence intervals for shape and scale parameters of this family of distributions. These confidence intervals are validated when the number of dgos is greater than or equal to 3. A numerical study is conducted by simulating record values (special case of dgos) from Topp-Leone generated exponential distribution. Real data analysis is also carried out to show the application of the derived results.

KEY WORDS AND PHRASES:

• Confidence interval
• exponential distribution
• Topp-Leone generated family of distributions

Acknowledgment

The authors are thankful to the anonymous referees and the editor for their valuable suggestions, which have improved the original manuscript.