• Pitambar Y. Patil

We came across estimation of an unknown probability density function by using random sample from it. This unknown density function itself may have some known constraints and hence it is trivial to expect the same constraints on its density estimator too. In this article we assume that density estimator is given or already estimated but it may not satisfy requirement of non-increasing property as its domain moves away from its modal point. Hence, we provide an algorithm to obtain closest non-increasing function to a given density estimator closest under some general norm.

Density estimator, Pool Maximum Violation Region Algorithm (PMVRA), Distance function.

"ALGORITHM TO OBTAIN CLOSEST NON-INCREASING DENSITY ESTIMATOR TO AN ARBITRARY DENSITY ESTIMATOR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.9, Issue 2, page no.d205-d207, February-2022, Available :http://www.jetir.org/papers/JETIR2202327.pdf

"ALGORITHM TO OBTAIN CLOSEST NON-INCREASING DENSITY ESTIMATOR TO AN ARBITRARY DENSITY ESTIMATOR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.9, Issue 2, page no. ppd205-d207, February-2022, Available at : http://www.jetir.org/papers/JETIR2202327.pdf