Suppose Y is an absolutely continuous random variable symmetric about 0 with probability density function f and cumulative distribution function F.

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In order to improve the validity of identifi cation of digital image origin and predetermine accurately threshold of identification,a new probability density function of generalized chi square distribution is constructed within0,1 for asymmetrical distribution of noise correlation.

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From the statistical meaning of random load action, the cumulative distribution function and probability density function of equivalent load are developed according to the property of order statistics when load acts for many times.

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With the use of the thin process theory, the Probability Generating Function of the IBP is obtained. An iterative algorithm, which can be used to calculate the IBP probability distribution, is presented.

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We obtain the transient distribution of queue length and probability generating function of queue equilibrium distribution.

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On the basic of academic function,using the"beeline substitute curve"theory,designed a kind of new probability density function: simplified linear normal distribution function.

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The corresponding coefficient of deviation mean Φp and transcendental probability P are evaluated under different skewness coefficient Cs by deducing Pearson Type Ⅲ probability density distribution function according to the requirement of Military Specification Airplane Strength and Rigidity.

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Using normal distribution transform probability model to represent a laser range scan.Not need features corresponded,but transform the discrete scan date to the piecewise continuous and differentiable probability density function,and using Newton's algorithm to optimize scan matching,so can build the 2D global map.

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Based on the theoretical probability density distribution function of local packing fraction, the shell side flow distribution was presented.

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Based on velocity and direction distribution of mobility model, this text put forward the scheme of simulating the movement of mobile station and the methods of computing the sojourn time, then make statistical analysis on the sample to obtain the probability density function of the sojourn time and the probability of handover.

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