We study cycle counts in permutations of 1 , … n $$ 1,\dots, drawn at random according to the Mallows distribution. Under this distribution, each permutation π ∈ S \pi \in {S}_n is selected with probability proportional q inv ( ) {q}^{\mathrm{inv}\left(\pi \right)} where > 0 q>0 a parameter and \mathrm{inv}\left(\pi \right) denotes number inversions . For ℓ \ell fixed, we vector C Π \left({C}_1...

vspace{0.2cm} Let $G$ be a graph and $f:V(G)rightarrow {1,2,3,.....left|V(G)right|}$ be a bijection. Let $p_{uv}=f(u)f(v)$ and\ $ d_{uv}= begin{cases} left[frac{f(u)}{f(v)}right] ~~if~~ f(u) geq f(v)\ \ left[frac{f(v)}{f(u)}right] ~~if~~ f(v) geq f(u)\ end{cases} $\ for all edge $uv in E(G)$. For each edge $uv$ assign the label $1$ if $gcd (p_{u...

Consider the model φ(S(z|X)) = β(z)t ~ X, where φ is a known link function, S(·|X) is the survival function of a response Y given a covariate X, ~ X = (1,X,X2, . . . ,Xp) and β(z) = (β0(z), . . . , βp(z)) t is an unknown vector of time-dependent regression coefficients. The response is subject to left truncation and right censoring. Under this model, which reduces for special choices of φ to e....

Previous research supported that the prevalence of addiction is related to brain laterality. Brain laterality is often determined by left/right handedness and this phenomenon is considered as an important factor in addiction prevalence. The present study attempts to examine the relationships between left/right handedness with addiction and smoking on Iranian population. In this study, 2000 male...

This paper considers estimating tail properties such as high quantiles and tail conditional expectations. We provide new asymptotically (quantile) unbiased estimators that are applicable to (i) complete data; (ii) tail censored (top-coded) data with known or unknown censoring value; and (iii) tail truncated data with known and unknown truncation value. The new method relies on the sole assumpti...

In the natural history of Human Immunodeficiency Virus Type-1 (HIV-1) infection, many studies included the participants who were seropositive at time of enrollment. Estimation of the unknown times since exposure to HIV-1 in the prevalent cohorts is of primary importance for estimation of the incubation period of Acquired Immunodeficiency Syndrome (AIDS). To estimate incubation period of AIDS we...

Background: Intrapulmonary vascular abnormalities associated with liver cirrhosis may result in intrapulmonary right-to-left shunt and hypoxemia. The aim of this study was to use contrast enhanced echocardiography to detect intrapulmonary vascular abnormalities in patients with liver cirrhosis candidates for liver transplantation. Methods: One hundred and two adult patients underwent contrast e...