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Smoothed weighted empirical likelihood ratio confidence intervals for quantiles
bootstrap doubly censored data empirical likelihood interval censored data partly interval censored data right censored data
2015/12/11
Thus far, likelihood-based interval estimates for quantiles have not been studied in the literature on interval censored case 2 data and partly interval censored data, and, in this context, the use of...
A RATIO TEST IN ACTIVE CONTROL NON-INFERIORITY TRIALS WITH A TIME-TO-EVENT ENDPOINT
Active control Fixed margin Fraction retention
2015/3/18
There are essentially two kinds of non-inferiority hypotheses in an active control trial:
fixed margin and ratio hypotheses. In a fixed margin hypothesis, the margin is a
prespecified constant and t...
Robustness of an Odds-ratio Test in a Stratified Group Sequential Trial with a Binary Outcome Measure
Binary outcome Odds-ratio Stratification
2015/3/18
Many clinical trials compare two or more treatment groups by using a binary outcome measure.
For example, the goal could be to determine whether the frequency of pain episodes is
significantly reduc...
Abstract: Felsner and Reuter introduced the linear extension diameter of a partially ordered set $\mathbf{P}$, denoted ${led}(\mathbf{P})$, as the maximum distance between two linear extensions of $\m...
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way CutProblem
k-way cut Approximation algorithm
2012/12/3
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connected components. The p...
The Ratio Monotonicity of the q-Derangement Numbers
q-derangement number spiral property log-concavity ratio monotone property
2014/6/3
We introduce the notion of ratio monotonicity for polynomials with nonnegative coefficients, and we show that for n ≥ 6, the q-derangement numbers Dn(q) are strictly ratio monotone, except for the las...
On the viscosity to entropy density ratio for unitary Bose and Fermi Gases
entropy density unitary Bose Fermi Gases
2011/3/4
We calculate the ratio of the viscosity to the entropy density for both Bose and Fermi gases in the unitary limit using a new approach to the quantum statistical mechanics of gases based on the S-matr...
Confidence interval for the difference of two normal population means with a known ratio of variances
Coverage probability Expected length
2010/9/20
Motivated by the recent work of Schechtman and Sherman [The twosample t-test with a known ratio of variances. Statistical Methodology 4, 508-514, (2007).], we investigate, in this paper, a new exact c...
Nonconstant predator harvesting on ratio-dependent predator-prey models
Predator-prey models harvesting dynamical systems
2010/9/21
The dynamics of a ratio-dependent predator-prey model with two different non-constant harvesting functions depending on the predator population is studied. Equilibria and periodic orbits are computed ...
There are only finitely many distance-regular graphs with valency k at least three, fixed ratio k2/k and large diameter
distance-regular graphs Bannai-Ito Conjecture
2011/1/21
In this paper, we show that for given positive integer C, there are only finitely many distance-regular graphs with valency k at least three, diameter D at least six and k2
k ≤ C. This extends a conj...
Ratio Estimators in Simple Random Sampling when Study Variable is an Attribute
Ratio Estimators Simple Random Sampling
2010/11/9
In this paper we have suggested a family of estimators for the population mean when study variable itself is qualitative in nature. Expressions for the bias and mean square error (MSE) of the suggest...
Ratio Monotonicity of Polynomials Derived from Nondecreasing Sequences
log-concavity ratio monotonicity Boros-Moll polynomials
2014/6/3
The ratio monotonicity of a polynomial is a stronger property than log-concavity. Let P(x) be a polynomial with nonnegative and nondecreasing coefficients. We prove the ratio monotone property of P(x ...
Ratio Vectors of Polynomial-Like Functions
Polynomial Real roots Ratio vector Critical points
2010/1/22
Let be a hyperbolic polynomial-like function of the form where are given positive real numbers and . Let be the critical points of lying in . Define the ratios We prove that . These boun...
Sequential probability ratio tests for fuzzy hypotheses testing
Fuzzy hypothesis critical region
2010/9/14
In hypotheses testing, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which hypotheses are imprecise. In this paper, we redefine some concepts about...
The Ratio Monotonicity of the Boros-Moll Polynomials
ratio monotone property spiral property unimodality log-concavity Jacobi polynomials Boros-Moll polynomials
2014/6/3
In their study of a quartic integral, Boros and Moll discovered a special class of Jacobi polynomials, which we call the Boros-Moll polynomials. Kauers and Paule proved the conjecture of Moll that the...