| 1. | The characteristic function of is, by Taylor's theorem,
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| 2. | Characteristic functions which satisfy this condition are called P�lya-type.
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| 3. | To see this, write out the definition of characteristic function:
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| 4. | The product of two stable characteristic functions is given by:
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| 5. | They play a similar role as the characteristic functions for random variable.
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| 6. | Then ? is the characteristic function of " X ".
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| 7. | But the characteristic function is defined in terms of the decision problem.
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| 8. | His primary interest was in the theory of characteristic functions.
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| 9. | The stable distribution has a characteristic function of the form:
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| 10. | Doodson's approximation was further investigated and confirmed by characteristic functions.
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