2014 22nd Telecommunications Forum Telfor (TELFOR) 2014
DOI: 10.1109/telfor.2014.7034470
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Evaluation of Kolmogorov - Smirnov test for cooperative spectrum sensing in real channel conditions

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Cited by 4 publications
(4 citation statements)
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“…Kolmogorov-smirnov model test.-K-S test is a commonly used method for model testing, which applies to small samples. [23][24][25][26][27] The test method is as follows: the reliability value calculated based on the median rank method is R , i and the expected reliability calculated by the fitting reliability function formula 13 is * R , It can be concluded from Table II that when the failure time t i is 1853 d, the K-S test statistic D has the maximum value D max = 0.0371. For a given confidence level α, if the value D max is smaller than a certain critical value Dc, the simulation model is accepted as an appropriate model.…”
Section: Application Of Weibull Theory In Reliability Analysismentioning
confidence: 99%
“…Kolmogorov-smirnov model test.-K-S test is a commonly used method for model testing, which applies to small samples. [23][24][25][26][27] The test method is as follows: the reliability value calculated based on the median rank method is R , i and the expected reliability calculated by the fitting reliability function formula 13 is * R , It can be concluded from Table II that when the failure time t i is 1853 d, the K-S test statistic D has the maximum value D max = 0.0371. For a given confidence level α, if the value D max is smaller than a certain critical value Dc, the simulation model is accepted as an appropriate model.…”
Section: Application Of Weibull Theory In Reliability Analysismentioning
confidence: 99%
“…When selecting the best fit for input data, for each distribution type, BestFit first estimates parameters values using maximum‐likelihood estimators (MLEs) (Teimouri and Nadarajah, ; Asgharzadeh et al., ), then optimizes the parameters with the Levenberg–Marquardt method (Ueda and Yamashita, ), an algorithm that maximizes the goodness‐of‐fit between a data set and a distribution function. BestFit offers three goodness‐of‐fit tests: chi‐square (Adekpedjou et al., ), Kolmogorov–Smirnov (Wang et al., ; Lekomtcev et al., ), and Anderson–Darling (Coronel‐Brizio and Hernandez‐Montoya, ; Ashkar et al., ), and the function with the lowest goodness‐of‐fit values is considered as the best fit. In this article, chi‐square is adopted for goodness‐of‐fit measurement.…”
Section: Case Studymentioning
confidence: 99%
“…The null hypothesis H 0 is assumed to be valid when the empirical and theoretical probability distributions are not statistically significantly different and the alternative hypothesis H 1 is assumed when these distribution are significantly different. First the empirical cumulative distribution function (CDF) of the received signal is calculated [3]. This function is defined by:…”
Section: B Kolmogorov-smirnov Testmentioning
confidence: 99%
“…A final decision on the presence of the PU is made by k out of M SUs and can be described by binomial distribution based on Bernoulli trials where each trial represents the decision process of each SU. The generalized formula for the probability of detection at the fusion center is given by [3]: (9) where P d,i and P fa,i are the probabilities of detection and false alarm respectively for each SU. In this paper three rules of the hard combination scheme are discussed.…”
Section: B Kolmogorov-smirnov Testmentioning
confidence: 99%