Log models are widely used to deal with skewed outcome such as health expenditure. They improve the precision of the estimates and diminish the influence of outliers. Retransformation is generally required after estimation and the evidence of heteroskedasticity complicates the process. Smearing estimation suggested in the literature only works for homoskedastic errors or heteroskedastic errors ...

In this paper, we present a comprehensive study of the monotonicity and log-concavity of the generalized Marcum and Nuttall -functions. More precisely, a simple probabilistic method is first given to prove the monotonicity of these two functions. Then, the log-concavity of the generalized Marcum -function and its deformations is established with respect to each of the three parameters. Since th...

In this paper, we present a comprehensive study of the monotonicity and log-concavity of the generalized Marcum and Nuttall Q−functions. More precisely, a simple probabilistic method is firstly given to prove the monotonicity of these two functions. Then, the log-concavity of the generalized Marcum Q−function and its deformations is established with respect to each of the three parameters. Sinc...

Exact Statistical Inferences for Functions of Parameters of the Log-Gamma Distribution by Joseph McDonald Malwane Ananda, Examination Committee Chair Professor of Mathematical Sciences University of Nevada, Las Vegas The log-gamma model has been used extensively for flood frequency analysis and is an important distribution in reliability, medical and other areas of lifetime testing. Conventiona...

During its 330 years of history, parametric distributions have been useful for survival and reliability analyses. In this paper, we comprehensively review the historical backgrounds statistical properties a number used in We provide encyclopedic coverage important distributions, which is more extensive than existing textbooks on also explain how these adopted analyses with original state-of-the...

We continue our analysis of higher and multiple Mahler measures using log-sine integrals as started in [7, 8]. This motivates a detailed study of various multiple polylogarithms [4] and worked examples are given. Our techniques enable the reduction of several multiple Mahler measures, and supply an easy proof of two conjectures by Boyd.

Assuming a quasi-generalized Riemann Hypothesis (6) for certain Dedekind zeta functions, we prove the following theorem: If a ≥ 2 is a square-free integer, then for the exponent function f a (n) (defined below) we have n≤x (a,n)=1 (Ω(f a (n)) − 1 2 (log log n) 2) 2 ≪ x(log log x) 3. This implies that the function Ω(f a (n)) has " normal order " 1 2 (log log n) 2 .

The normal-Laplace (NL) distribution results from convolving independent normally distributed and Laplace distributed components. It is the distribution of the stopped state of a Brownian motion with normally distributed starting value if the stopping hazard rate is constant. Properties of the NL distribution discussed in the article include its shape and tail behaviour (fatter than the normal)...

Suffix trees have emerged to be very fast for pattern searching yielding O (m) time, where m is the pattern size. Unfortunately their high memory requirements make it impractical to work with huge amounts of data. We present a memory efficient algorithm of a generalized suffix tree which reduces the space size by a factor of 10 when the size of the pattern is known beforehand. Experiments on th...