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Tampering with a Stable Process
Teaching Statistics, 1994SummaryThis article presents a variation of the funnel experiment made famous by W. Edwards Deming. Ideally suited for classroom use, this exercise illustrates the disastrous consequences resulting from tampering with a stable process.
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On the Boundedness of Stable Processes
1977By a stable process we mean a process X = (X(t) | t ∈ T) such that all linear combinations of the random variables X(t) have a stable distrition as defined in [5, p. 166].
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A characterization of stable processes
Journal of Applied Probability, 1969Let X(t) be a stochastic process whose parameter t runs over a finite or infinite n terval T. Let t1, t2 ɛ T, t1 〈 t2; the random variable X(t2) – X(t1) is called the increment of the process X(t) over the interval [t1, t2]. A process X(t) is said to be homogeneous if the distribution function of the increment X(t + τ) — X(t) depends only on the length
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Hitting distributions of $\alpha$-stable processes via path censoring and self-similarity
Annals of Probability, 2014Andreas E Kyprianou, Juan CARLOS Pardo
exaly
Operator-self-similar stable processes
Stochastic Processes and Their Applications, 1994Makoto Maejima
exaly
INFINITE VARIANCE STABLE ARMA PROCESSES
Journal of Time Series Analysis, 1994Piotr S Kokoszka, Murad S Taqqu
exaly