Estimating the distance to a monotone function
نویسندگان
چکیده
منابع مشابه
Estimating the Distance to a Monotone Function
In standard property testing, the task is to distinguish between objects that have a property P and those that are ε-far from P , for some ε > 0. In this setting, it is perfectly acceptable for the tester to provide a negative answer for every input object that does not satisfy P . This implies that property testing in and of itself cannot be expected to yield any information whatsoever about t...
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Let X be a random variable from a normal distribution with unknown mean θ and known variance σ2. In many practical situations, θ is known in advance to lie in an interval, say [−m,m], for some m > 0. As the usual estimator of θ, i.e., X under the LINEX loss function is inadmissible, finding some competitors for X becomes worthwhile. The only study in the literature considered the problem of min...
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We show that the reciprocal of the function f(z) = log Γ(z + 1) z log z , z ∈ C\]−∞, 0], is a Stieltjes transform. As a corollary we obtain that the derivative of f is completely monotone, in the sense that (−1)n−1f (n)(x) ≥ 0 for all n ≥ 1 and all x > 0. This answers a question raised by Dimitar Dimitrov at the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Appl...
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This study investigates two-stage plans based on nonparametric procedures for estimating an inverse regression function at a given point. Specifically, isotonic regression is used at stage one to obtain an initial estimate followed by another round of isotonic regression in the vicinity of this estimate at stage two. It is shown that such two stage plans accelerate the convergence rate of one-s...
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ژورنال
عنوان ژورنال: Random Structures and Algorithms
سال: 2007
ISSN: 1042-9832,1098-2418
DOI: 10.1002/rsa.20167