background: the occurrence and the mortality related to breast cancer (bc) in iranian female population has increased over time. although there are many studies on bc and related risk factors, however, the epidemiological aspects of this melanoma in iranian females are uncertain. therefore, the aim of this study was to determine the relationship between demographical and clinical factors on the...

Fast response times and the satisfaction of response time quantile targets are important performance criteria for almost all transaction processing and computer-communication systems. However, they tend to be difficult to obtain in stochastic models, even when the mean value of the response time has a relatively simple mathematical expression. Expressions have been obtained for the Laplace tran...

Consider the problem of aggregating a pro…le of interpersonally comparable utilities into a social utility. We require that the units of measurement of utility used for agents is the same as the units of measurement for society (ordinal covariance) and a mild Pareto condition (monotonicity). We provide several representations of such social aggregation operators: a canonical representation, a C...

One of the most basic and commonly used numerical computations in probability and statistics is to evaluate the random deviate corresponding to any given tail probability for a given probability distribution. The deviate corresponding to a given probability is called the quantile. Quantiles usually need to be computed by numerical approximation, and the need often arises to compute quantiles fo...

We investigate the asymptotic distribution of the Exponential Tail (ET) estimator of extreme quantiles. We give su cient conditions for the asymptotic normality and provide some illustrating examples. Then, on the basis of this result, we propose a goodness-oft test for the tail of a usual distribution. The asymptotic power and level of the test are established. Key-words: Exponential Tail, Ext...

Estimating ranks, quantiles, and distributions over streaming data is a central task in analysis monitoring. Given stream of n items from universe equipped with total order, the to compute sketch (data structure) size polylogarithmic . query item y , one should be able approximate its rank stream, i.e., number elements smaller than or equal Most works date focused on additive ε error approximat...

Abs t rac t . To estimate the quantile density function (the derivative of the quantile function) by kernel means, there are two alternative approaches. One is the derivative of the kernel quantile estimator, the other is essentially the reciprocal of the kernel density estimator. We give ways in which the former method has certain advantages over the latter. Various closely related smoothing i...

We propose a method of recurrent estimation of conditional quantiles stemming from stochastic approximation. The method employs a sigmoidal neural network and specialized training algorithm to approximate the conditional quantiles. The approach may by used in a wide range of fields, in partricular in econometrics, medicine, data mining, and modeling.

Estimating high quantiles plays an important role in the context of risk management. This involves extrapolation of an unknown distribution function. In this paper we propose three methods, namely, the normal approximation method, the likelihood ratio method and the data tilting method, to construct confidence regions for high quantiles of a heavy tailed distribution. A simulation study prefers...

Recently, quantiles and expectiles of a regression function have been investigated by several authors. In this work, we give a suu-cient condition under which a quantile and an expectile coincide. We extend some classical results known for mean, median and symmetry to expectiles, quantiles and weighted-symmetry. We also study split-models and sample estimators of expectiles.