The moment generating function
The joint moment generating function of quadratic forms in multivariate autoregressive series - The case with deterministic components
... joint moment generating function ~MGF ! of the quadratic forms that form the basis for the sufficient statistic+ The formula is then specialized to the limiting MGF of functionals involving multi- ...
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Extension of Ostrowki type inequality via moment generating function
... Abstract. In this paper, generalizations of weighted Ostrowski inequality are derived by using moment generating functions in bounded variation, L ∞ and L p spaces. Applications to compo[r] ...
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A New Class Of Life Time Distribution Based On Moment Generating Function Ordering With Hypothesis Testing
... values of this test are calculated. The power of the test and Pitman's asymptotic efficiency for some commonly used distributions in reliability are calculated. A set of real data is used as an example to elucidate the ...
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On Some Classical Properties of Doubly Truncated Mixture of Burr XII and Weibull Distributions
... distribution function, hazard rate, failure rate, inverse hazard function, odd function and the cumulative hazard function, rth moment about origin, moment generating ...
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Degenerate Poisson Distribution
... its moment generating function by which we de…ne the degenerate Bell polynomials and give a connection for these polynomials related to the unsigned Stirling numbers of the …rst ...
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Vol 8, No 11 (2017)
... G = − − α β + + λ − α β + (4) The rest of this article is outlined as follows: In Section 2, the beta transmuted weighted exponential (BTWE) distribution is introduced. In Section 3, we obtain expansions of the cdf and ...
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Moment-Generating Functions and Reproductive Properties of Distributions
... of moment- generating functions to evaluate the expectation and variance of a random variable with probability distribution are ...the moment- generating function can be a powerful tool ...
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On the Moments, Cumulants, and Characteristic Function of the Log-Logistic Distribution
... characteristic function of the log-logistic ...using moment generating function and by definition of expected values of the log-logistic random variable and (2) finding the cumulants and ...
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A New Generalized Weighted Weibull Distribution
... quantile function, moment generating function, probability generating function, raw mo- ments, incomplete moments, probability, weighted moments, Rayeni and q − th ...
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Bayesian inference for double Pareto lognormal queues
... a moment generating function or Laplace transform in closed form as most of heavy-tailed distributions, it is impossible to apply the usual queueing theory techniques to obtain the equilib- rium ...
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Skew-Type I Generalized Logistic Distribution and its Properties
... density function (pdf) and cumulative distribution function (CDF) of the skew type I generalized logistic distribution denoted by S'GLD( ...the moment generating function (mgf), ...
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Length-biased Weighted Maxwell Distribution
... The Maxwell distribution applies to ideal gases close to thermodynamic equilibrium with negligible quantum effects and at non-relativistic speeds. It forms the basis of the kinetic theory of gases, which provides a ...
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Exponentiated Marshall-Olkin family of distributions
... quantile function (qf ) and we provide two general formulae for the ...the moment generating function (mgf ) and determine the mean ...
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Study of Error Performance of Rotated PSK modulation in Nakagami q (Hoyt) Fading Channel
... The paper concerns with the study of the modulation diversity in PSK scheme due to rotation of the signal constellation along with bit interleaving. We derive here the expressions for the Symbol Error Probability (SEP) ...
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On the Multiplicative Zagreb Indices of Bucket Recursive Trees
... find a lower bound in Theorem 2.1 and an upper bound in Theorem 2.2, since the maximum degree of buckets of our model might not change for different values of n . However, we can study some probabilistic characteristics ...
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A New Generalization of the Fréchet Distribution: Properties and Application
... This paper is organized as follows. In Section 2, we introduce the ETF distribution and provide its sub models. In Section 3, some structural properties of ETF distribution, including the quantile function, ...
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The Markovian Regime Switching Risk Model with Constant Dividend Barrier under Absolute Ruin
... the moment-generating function and boundary conditions in a regime-switching risk ...higher moment of the dividend payments and boundary conditions are ...
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BER Performance for Downlink MC-CDMA Systems over Rician Fading Channels
... the moment generating function by expressing the decision variables in Gaussian quadratic ...the moment generating function, an exact BER is obtained in the time ...
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The Kumaraswamy Weibull Geometric Distribution with Applications
... density function, explicit algebraic expressions of survival and hazard functions, mean deviation, order statistics and its mo-ments, entropy, moment generating function and its ...
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Probabilistic - Optimal Power Flow for Radial Distribution Systems with Wind Generators
... input variables Complex frequency Moment Generating Function Cumulant Generating Function Vector containing the mth order cumulants of the system unknown variables Vector containing the [r] ...
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