219 research outputs found

    Review on Order Statistics and Record Values from F^{α} Distributions

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</xml><![endif]--><!--[if gte mso 10]> <style>\ud /* Style Definitions */\ud table.MsoNormalTable\ud {mso-style-name:"Table Normal";\ud mso-tstyle-rowband-size:0;\ud mso-tstyle-colband-size:0;\ud mso-style-noshow:yes;\ud mso-style-priority:99;\ud mso-style-qformat:yes;\ud mso-style-parent:"";\ud mso-padding-alt:0in 5.4pt 0in 5.4pt;\ud mso-para-margin:0in;\ud mso-para-margin-bottom:.0001pt;\ud mso-pagination:widow-orphan;\ud font-size:11.0pt;\ud font-family:"Calibri","sans-serif";\ud mso-ascii-font-family:Calibri;\ud mso-ascii-theme-font:minor-latin;\ud mso-fareast-font-family:"Times New Roman";\ud mso-fareast-theme-font:minor-fareast;\ud mso-hansi-font-family:Calibri;\ud mso-hansi-theme-font:minor-latin;\ud mso-bidi-font-family:"Times New Roman";\ud mso-bidi-theme-font:minor-bidi;}\ud </style> <![endif]--><span style="font-size: 10pt; line-height: 115%; font-family: &quot;Arial&quot;,&quot;sans-serif&quot;;"><strong>Abstract: </strong>Both order statistics and records arise naturally in many fields of studies such as climatology, sports, science, engineering, medicine, traffic, and industry, among others. Studies of their properties and applications play important roles in many areas of statistical research, for example, statistical inference, nonparametric statistics, among others. In recent years, the F^{&alpha;} distributions have been widely studied in statistics because of their wide applicability in the modeling and analysis of life time data. An absolutely continuous positive random variable X is said to have an F^{&alpha;} or exponentiated distribution if its cumulative distribution function (cdf) is given by G(x)=F^{&alpha;}(x)=[F(x)]^{&alpha;}, &alpha;&gt;0, x&gt;0, which is the &alpha;th power of the base line distribution function F(x). Many researchers and authors have developed various classes of F^{&alpha;} distributions. It appears from the literature that not much attention has been paid to the analysis of record values and order statistics from these members of F^{&alpha;} family of distributions, and, therefore, need further and special investigation. In this paper, some distributional properties of order statistics and record values from F^{&alpha;} distributions are reviewed. We hope that the findings of this paper will be a useful for the practitioners in various fields of studies and further enhancement of research in order statistics and record value theory, and their applications.<br /><br /> <br /> </span

    Critical assessment of the Legal Recourse for the Case of Sukuk default for the Asset-Backed Sukuk and Asset-Based Sukuk structures

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    This paper critically assesses and analyze the Islamic certificate of investments (Sukuk) and its two different structures; asset-backed and asset-based. The co-ownership of the recourse of the Sukuk is additionally known as an Underlying asset. The paper will discuss the legal alternatives of the stakeholders in the case of default of Sukuk. It is believed that Sukuk default by the institution cannot occur in its true sense, as they're not debt instruments issued by the issuer. Rather, they represent the possession of the Sukuk holders on the underlying assets; thus, the Sukuk are primarily based on assets. The recourse mechanism of Sukuk default ought to take into consideration to safeguard the interest of the investors

    Performance evaluation of generic flexible manufacturing systems

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    This study describes a potential tool to evaluate the performance of Flexible Manufacturing Systems on the basis of both conventional design parameters (MTTF, MTTR, MTR) and other factors, including the use of the Markov process. System effectiveness is used as a performance measure, and credits are granted if only some of the systems are functional. To improve performance, a central storage, whose spares level is optimized heuristically, was installed to replenish spares for failing equipment. Such performance measurement technique is likely to be very useful for most real life FMS environments. The model is currently being tested for a wide range of applications
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