Abstract Sensitive to the change in sample sizes, traditional measures such as values of test statistics or p can fail quantify difference survival between populations for time-to-event data. We thereby propose use effect sizes defined weighted differences hazards evaluate two groups. On basis logrank statistic, Gehan–Wilcoxon statistic and Prentice–Wilcoxon we developed three that compare expe...

We study a bijective map from integer partitions to the prime factorizations of integers that we call “supernorm” partition, in which multiplicities parts are mapped factors natural numbers. The supernorm is connected family maps define, suggests potential apply techniques partition theory identify and prove multiplicative properties integers. As an application “supernormal” mappings (i.e., per...

In this paper, we show the first order validity of the block bootstrap in the context of Kolmogorov type conditional distribution tests when there is dynamic misspecification and parameter estimation error. Our approach differs from the literature to date because we construct a bootstrap statistic that allows for dynamic misspecification under both hypotheses. We consider two test statistics; o...

The relationship between the nuclear parameters and model performance is complex, which is from relevance vector machine (RVM) regression model based on Gaussian radial basis kernel function. Aiming at the problem of how to determine the kernel parameters of RVM, a method to selecting kernel parameter of RVM based on AIC criterion is proposed. Firstly, a novel of statistic Q is proposed based o...

Non-destructive testing (NDT) by active infrared thermography requires of data processing techniques in order to: i. improve the thermal contrast between defective and non-defective areas, and ii. reduce the large quantity of images recorded during the inspection without losing relevant information. In this paper, the use of the skewness statistic parameter is proposed for the automatic process...

In this paper, we first provide m pivotal quantities to test the shape parameter and establish confidence interval of the shape parameter of the bathtub-shaped distribution under the failure-censored plan (see Balasooriya (1995) and Wu and Tsai (2000)). Next, we also find the best test statistic based on their most power of test among all test statistics and the best pivotal quantities with the...

Exponential tail bounds for sums play an important role in statistics, but the example of t-statistic shows that exponential decay may be lost when population parameters need to estimated from data. However, it turns out if Studentizing is accompanied by estimating location parameter a suitable way, then regains behavior. Motivated this example, paper analyzes other ways empirically standardizi...

An important problem for tting local linear regression is the choice of the smoothing parameter. As the smoothing parameter becomes large, the estimator tends to a straight line, which is the least squares t in the ordinary linear regression setting. This property may be used to assess the adequacy of a simple linear model. Motivated by Silverman's (1981) work for testing multimodality in kerne...