Article
A convenient way of generating gamma random variables using generalized exponential distribution
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India; Department of Computer Science and Applied Statistics, The University of New Brunswick, Saint John, Canada E2L 4L5
Computational Statistics & Data Analysis (Impact Factor: 1.3). 02/2007; DOI: 10.1016/j.csda.2006.09.037 Source: RePEc

Article: Partially Coherent EGC Reception of Uncoded and LDPCCoded Signals over Generalized Fading Channels
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ABSTRACT: This paper studies the biterror rate (BER) performance of partially coherent equalgain combining reception of uncoded and lowdensity paritycheck (LDPC)coded binary and quaternary phaseshift keying signals over generalized α − μ fading channels. For the uncoded signal detection case the obtained numerical and simulation results illustrate the BER performance degradation due to the imperfect reference signal recovery, receiver unbalancing and fading. It is demonstrated that imperfect cophasing causes an irreducible BER performance. Furthermore, we design large girth quasicyclic LDPC code with high code rate, suitable for use in communications over generalized fading channels. The proposed LDPC code does not exhibit the error floor phenomena, in the region of interest, even in the presence of imperfect cophasing and receiver unbalances, and outperforms standard convolutional code of lower code rate in the observed impairments. The effects of number of iterations in decoding algorithm and codeword length on BER performance are also investigated. KeywordsBiterror rate–Equalgain combining–Lowdensity paritycheck (LDPC) codes–Phase error–Phaseshift keyingWireless Personal Communications 01/2012; · 0.43 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: The use of goodnessoffit test based on Anderson–Darling (AD) statistic is discussed, with reference to the composite hypothesis that a sample of observations comes from a generalized Rayleigh distribution whose parameters are unspecified. Monte Carlo simulation studies were performed to calculate the critical values for AD test. These critical values are then used for testing whether a set of observations follows a generalized Rayleigh distribution when the scale and shape parameters are unspecified and are estimated from the sample. Functional relationship between the critical values of AD is also examined for each shape parameter (α), sample size (n) and significance level (γ). The power study is performed with the hypothesized generalized Rayleigh against alternate distributions.Journal of Statistical Computation and Simulation 03/2011; 81(3):357366. · 0.63 Impact Factor  [Show abstract] [Hide abstract]
ABSTRACT: In this article, we describe a new yet simple statistical procedure to better assess the quality of pseudorandom number generators. The new procedure builds on the statistical test suite proposed by the National Institute of Standards and Technology (NIST) and is especially useful for applications in economics. Making use of properties of the binomial distribution, we estimate the conjoint significance level of the test. We apply the proposed procedure to several wellknown pseudorandom number generators, and the results confirm its effectiveness.Computational Economics 06/2010; 36(1):5767. · 0.46 Impact Factor
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