| 41. | There is also a relationship between the stable distribution characteristic function and the geometric stable distribution characteristic function.
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| 42. | The rational approximation software RARL2 is used to approximate the discrete time rational characteristic function of the density.
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| 43. | There are particularly simple results for the characteristic functions of distributions defined by the weighted sums of random variables.
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| 44. | This framework may be viewed as a generalization of the characteristic function under specific choices of the kernel function.
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| 45. | It follows that the moments are simply equal to the characteristic function of the unwrapped distribution for integer arguments:
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| 46. | The class contains the density functions of all distributions that have characteristic functions that are strictly proper rational functions.
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| 47. | The proper use of tables of the characteristic function also rely on the " less than or equal " formulation.
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| 48. | In consequence, the characteristic function of the log-normal distribution cannot be represented as an infinite convergent series.
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| 49. | The moment-generating function of a real-valued distribution does not always exist, unlike the characteristic function.
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| 50. | Clearly the approach via ( 1.1 ) and ( 3.1 ) does not involve characteristic functions.
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