• M. vijaya lakshmi
• O. V. Raja Sekharam
• G.V. S. R. Anjaneyulu

The objective of this paper is to estimate the parameters and also construct an Optimal Grouped sample in the absence of prior knowledge or guess values of parameters. In this heuristic algorithm, the Least Square Regression Method is used to find out Estimates the parameters of Power Function Distribution. Statistical Correlation technology is used to test whether or not these parameters are statistically fit or not. We also compare equispaced and unequispaced Optimally Constructed Grouped data by the method of an Asymptotically Relative Efficiency. We also computed Average Estimate (AE), Variance (VAR), Standard Deviation (STD), Mean Absolute Deviation (MAD), Mean Square Error (MSE), Simulated Error (SE) and Relative Absolute Bias (RAB) for both the parameters under grouped sample based on 1000 simulations to assess the performance of the estimators.

Power Function Parameters, Optimally Grouped sample, equispaced, unequispaced, correlation coefficient.

"ESTIMATION OF SCALE() AND SHAPE (α) PARAMETERS OF POWER FUNCTION DISTRIBUTION BY LEAST SQUARES METHOD USING OPTIMALLY CONSTRUCTED GROUPED DATA", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.320-328, June-2019, Available :http://www.jetir.org/papers/JETIR1906481.pdf

"ESTIMATION OF SCALE() AND SHAPE (α) PARAMETERS OF POWER FUNCTION DISTRIBUTION BY LEAST SQUARES METHOD USING OPTIMALLY CONSTRUCTED GROUPED DATA", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp320-328, June-2019, Available at : http://www.jetir.org/papers/JETIR1906481.pdf