In an influential work, Qin and Lawless (1994) proposed a general estimating equations (GEE) formulation for maximum empirical likelihood (MEL) estimation and inference. The formulation replaces a model specified by GEE with a set of data-supported probability mass functions that satisfy...

A mathematical expression known as Benford's law provides an example of an unexpected relationship among randomly selected sequences of first significant digits (FSDs). Newcomb [Note on the frequency of use of the different digits in natural numbers, Am. J. Math. 4 (1881) 39–40], and later...

A mathematical expression known as Benford's law provides an example of an unexpected relationship among randomly selected first significant digits (FSD). Newcomb (1881), and later Benford (1938), conjectured that FSDs would exhibit a weakly monotonic distribution and proposed a frequency...

In this article, we consider the problem of criterion choice in information recovery and inference in a large-deviations (LD) context. Kitamura and Stutzer recognize that the Maximum Entropy Empirical Likelihood estimator can be given a LD justification (Kitamura and Stutzer, 2002). We...

Maximum Probability method is used to translate possibly contiguous and overlapping categorical observations into frequencies.