Stability analysis is one of the most important fields of study in the Islamic banking and finance industry. For measuring stability in Islamic banking, we introduced, for the first time, an Islamic banking stability index (IBS) during 2013 to 2016 which use all CAMEL factors and so seems to be more comprehensive than Z-score stability index which dominantly used in the existing literatures. To...

A novel inexact smoothing method is presented for solving the second-order cone complementarity problems (SOCCP). Our method reformulates the SOCCP as an equivalent nonlinear system of equations by introducing a regularized Chen-Harker-Kanzow-Smale smoothing function. At each iteration, Newton’s method is adopted to solve the system of equations approximately, which saves computation work compa...

Several techniques, such as adaptive smoothing [9, 10] or anisotropic diffusion [4, 5] deal with the task of local smoothing. That is, preserving principal discontinuities and smoothing within regions. Unfortunately, these types of iterative techniques have as one of their main drawbacks, the determination of the threshold on the luminance gradient. There is no way to control it easily and rese...

We show that a regression of unsmoothed peculiar velocity measurements against peculiar velocities predicted from a smoothed galaxy density field leads to a biased estimate of the cosmological density parameter Ω, even when galaxies trace the underlying mass distribution and galaxy positions and velocities are known perfectly. The bias arises because the errors in the predicted velocities are c...

Let N be a large parameter, C a constant, and let ΓN (C) denote the C-neighborhood of the cone segment {ξ : 2−CN ≤ |ξ| ≤ 2N}. For fixed N , we take a partition of unity subordinate to a covering of Sd−1 by caps Θ of diameter about N− 1 2 , and use this to form a (smooth) partition of unity yΘ on ΓN(C) in the natural way. We will write ΓN,Θ(C) = supp yΘ. Let ΞΘ be a function whose Fourier transf...

We begin by analyzing the local adaptation properties of wavelet-based curve estimators. It is argued that while wavelet methods enjoy outstanding adaptability in terms of the manner in which they capture irregular episodes in a curve, they are not nearly as adaptive when considered from the viewpoint of tracking more subtle changes in a smooth function. We point out that while this problem may...

A dimension reduction-based adaptive-to-model test is proposed for significance of a subset of covariates in the context of a nonparametric regression model. Unlike existing local smoothing significance tests, the new test behaves like a local smoothing test as if the number of covariates were just that under the null hypothesis and it can detect local alternatives distinct from the null at the...