Abstract Isotonic distributional regression (IDR) is a powerful non-parametric technique for the estimation of conditional distributions under order restrictions. In nutshell, IDR learns that are calibrated, and simultaneously optimal relative to comprehensive classes relevant loss functions, subject isotonicity constraints in terms partial on covariate space. Non-parametric isotonic quantile b...

In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. We then show that when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric, functions which separate only those pairs of sets which are already separated are precontinu...

background and aims: the antioxidant and anti-inflammatory effects of carvacrol were reported. the aim of the current study was an investigation the relaxant effects of carvacrol on acetylcholine-induced contraction in isolated rat's ileum. materials and methods: in this study, the tissues separated from ileum were fixed on the organ bath containing tyrode's solution. the amplitude of...

Purpose: Knee osteoarthritis (OA) is believed to be an important risk factor for falling. Total knee replacement (TKR) is a commonly used choice when other methods are not satisfactory. Proprioception impairment, risk of falling and balance disorder are within the main complications of this method. While multiple protocols have been suggested for TKR, efficacy of early isotonic ...

The standard isotonic regression of a vector in IRn is the solution to a least squares projection problem on the cone C of vectors with ‘increasing components’ in IRn. Generalized isotonic regression problems are isotonic optimization problems that seem to be quite different from isotonic regression problems, but in fact have the same solution. In problems of maximum smoothed likelihood estimat...

an isotonic regression model fits an isotonic function of the explanatory variables to estimate the expectation of the response variable. In other words, as the function increases, the estimated expectation of the response must be non-decreasing. With this characteristic, isotonic regression could be a suitable option to analyze and predict business risk scores. A current challenge of isotonic ...

We consider L1-isotonic regression and L∞ isotonic and unimodal regression. For L1isotonic regression, we present a linear time algorithm when the number of outputs are bounded. We extend the algorithm to construct an approximate isotonic regression in linear time when the output range is bounded. We present linear time algorithms for L∞ isotonic and unimodal regression.