INDEKS MAQASHID SYARIAH DAN NILAI PERUSAHAAN BANK UMUM SYARIAH

Islamic banks require a different performance measurement than a conventional bank to keep their sustainability. The main disadvantage of employing conventional benchmarks to measure Islamic bank performance is that they fail to investigate shariah facets. This study aims to discover how maqashid shariah index using IMSPM (Integrated Maqashid al-Shariah based Performance Measure) approach and firm value using EVA (Economic Value Added) approach and examine its impact with capital structure on the corporate values of Islamic bank. This study using a quantitative method with the purposive sampling technique. This study involved 11 Islamic bank’s annual reports listed in the Bank Indonesia and OJK from 2015 to 2019 period. The analysis method is multiple linear regression using Eviews 10 program. This study finds that the sample performed highest on the objective of nafs (self) over five-year period. The companies with a constant NOPAT and IC have a better EVA. Maqashid Syariah Index positively influence firm value while the capital structure has no effect.

Multimodal Ellipsoid Model for Non-Probabilistic Structural Uncertainty Quantification and Propagation

The traditional ellipsoid convex set is a kind of basic non-probabilistic model to measure uncertainties. However, it is difficult or inaccurate to quantify the uncertainties of variables with multimodal distributed samples. In this paper, a more generalized non-probabilistic ellipsoid model named multimodal ellipsoid model is proposed to effectively deal with the multimodal distributed samples. The samples with one or more similar properties are clustered together, and the principal directions of the samples and characteristic matrix are appropriately found through the Gaussian mixture model. Then, the multimodal ellipsoid model can be constructed by using the elliptical contour features of the Gaussian model to measure the uncertainties of variables. The proposed multimodal ellipsoid model can not only establish traditional ellipsoid model, but also establish multi-ellipsoid model for uncertain variables with multimodal samples. Furthermore, combining with the multimodal ellipsoid model and performance measure approach, the uncertain propagation results of system are obtained accurately. Three numerical examples and one engineering application are provided to demonstrate the effectiveness and accuracy of the proposed multimodal ellipsoid model.

A quantile-based method to efficiently determine model response at boundary probabilities

Quantiles are values of a function associated with specific probabilities. Two very specific quantiles, that is, ±3, are usually used for estimating probabilistic distribution of the function. Aiming at the engineering complex implicit function, the article provides an algorithm for calculating these values efficiently and rapidly. First, build kriging model with initial high-efficiency samples and the model is taken as the approximate initial analytical expression of the original function. Then, seek for the approximate most probable point with kriging model and performance measure approach. The most probable points found every time and their corresponding function responses are taken as new samples to reconstruct the built kriging model. After several times of reconstructing kriging model, the convergence value for the corresponding quantile can be obtained. Finally, the illustrative cases in this article demonstrate that the quantile-based method can provide accurate results with high efficiency and in this way, the quantile convergence value can be obtained by a few samples.