A new diversity estimator

A new diversity estimator

*Correspondence: [email protected] 2Department of Mathematics and Statistics, UNC Charlotte, 9201 University City Blvd, 28223 Charlotte, USA Full list of author information is available at the end of the article Abstract The maximum likelihood estimator (MLE) of Gini-Simpson’s diversity index (GS) is widely used but suffers from large bias when the number of species is large or infinite. We prop...

A New Estimator of Entropy

In this paper we propose an estimator of the entropy of a continuous random variable. The estimator is obtained by modifying the estimator proposed by Vasicek (1976). Consistency of estimator is proved, and comparisons are made with Vasicek’s estimator (1976), van Es’s estimator (1992), Ebrahimi et al.’s estimator (1994) and Correa’s estimator (1995). The results indicate that the proposed esti...

A New Biased Estimator Derived from Principal Component Regression Estimator

A new nestedness estimator in community networks

A recent problem in community ecology lies in defining structures behind matrices of species interactions. The interest in this area is to quantify the nestedness degree of the matrix after its maximal packing. In this work we evaluate nestedness using the sum of all distances of the occupied sites to the vertex of the matrix. We calculate the distance for two artificial matrices with the same ...

A New Wavelet Linear Survival Function Estimator

Abstract: Let {Xn, n=1} be a sequences of i.i.d. random variables with survival function 1 F(x) P[X x] = > . A wavelet linear survival function n F(x) based on X1, X2,..., Xn is introduced as an estimator for n F(x) . We establish that the Lp’-loss (2=r=p′= ∞) of the linear wavelet survival function estimator for a stochastic processes convergence at the rate rs 2 s 1 n (s s 1 /p 1 / p ) ′ − ′+...