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Article Citation - WoS: 4Citation - Scopus: 5The Reliability and Validity of the Lifespan Sibling Relationship Scale in a Turkish Emerging Adult Sample(Slovak Acad Sciences inst Experimental Psychology, 2019) Cilali, Bengu; Erdur-Baker, Ozgur; Bugay, AsliThe present study examines the reliability and validity of the Turkish version of the Lifespan Sibling Relationship Scale (LSRS; Riggio, 2000). A total of 578 (336 female, 242 male) Turkish emerging adults participated in this study. A Confirmatory Factor Analysis (CFA) was used to test construct validity for the original six-factor model of the scale with 48 items. Results of the CFA indicated a good model fit. Furthermore, the second-order CFA result showed that the scale can be scored for both the subdimensions and the test as a whole. Multi-group CFA result revealed that the measured construct is invariant across the genders. The results suggested that the Turkish version of the LSRS had adequate internal consistency and construct validity, indicating that it can be reliably used to measure attitudes toward sibling relationship in emerging adulthood among a Turkish population.Article Citation - WoS: 1Citation - Scopus: 2Computing Minimal Signature of Coherent Systems Through Matrix-Geometric Distributions(Cambridge Univ Press, 2021) Eryilmaz, Serkan; Eryılmaz, Serkan; Tank, Fatih; Eryılmaz, Serkan; Industrial Engineering; Industrial EngineeringSignatures are useful in analyzing and evaluating coherent systems. However, their computation is a challenging problem, especially for complex coherent structures. In most cases the reliability of a binary coherent system can be linked to a tail probability associated with a properly defined waiting time random variable in a sequence of binary trials. In this paper we present a method for computing the minimal signature of a binary coherent system. Our method is based on matrix-geometric distributions. First, a proper matrix-geometric random variable corresponding to the system structure is found. Second, its probability generating function is obtained. Finally, the companion representation for the distribution of matrix-geometric distribution is used to obtain a matrix-based expression for the minimal signature of the coherent system. The results are also extended to a system with two types of components.Article Citation - WoS: 5Citation - Scopus: 8Discrete Scan Statistics Generated by Exchangeable Binary Trials(Cambridge Univ Press, 2010) Eryilmaz, SerkanLet {X-i}(i=1)(n) be a sequence of random variables with two possible outcomes, denoted 0 and 1. Define a random variable S-n,S-m to be the maximum number of Is within any m consecutive trials in {X-i}(i=1)(n). The random variable S-n,S-m is called a discrete scan statistic and has applications in many areas. In this paper we evaluate the distribution of discrete scan statistics when {X-i}(i=1)(n) consists of exchangeable binary trials. We provide simple closed-form expressions for both conditional and unconditional distributions of S-n,S-m for 2m >= n. These results are also new for independent, identically distributed Bernoulli trials, which are a special case of exchangeable trials.
