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Recent
Issues
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Volume 52
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1
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2
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3
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4
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Volume 51
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4
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Volume 50
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2
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3
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4
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Volume 49
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2
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4
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Volume
48
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2
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Vietnam
Journal of Mathematics 38:1 (2010) 27-34
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A New Method to Estimate the Stable Degrees of
Some Previous Stability Theorems Based on the Stability of the Differential
Equations for Characteristic Functions
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Nguyen Huu Bao and
Do Lan
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Abstract. We reconsider two previous
stability problems in [2, 3] and give other estimations of the stable
degrees of these problems with the following metric:
λ(FX; FY)
= minT > 0 max{sup|t|>T |φX(t) – φY(t)|;
1/T}
for two distribution functions FX; FY
of two random variables X, Y and their corresponding
characteristic functions φX(t) and φY(t),
eventhough when the condition in Theorem 2.1 in [1] is not satisfied.
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2000 Mathematics Subject Classification: 60E10, 62H05,
62H15, 62H05, 62H15.
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Keywords: Characterization theorem, stability of
characterization, stability estimation, probabilistic metric.
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by Vietnam Academy of Science and Technology & Vietnam Mathematical
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Published
by Springer since January 2013
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