A CLASS OF STATIONARY PROCESSES AND A CENTRAL LIMIT THEOREM

J. R. Blum, Murray Rosenblatt

Type: Article

Publication Date: 1956-07-01

Citations: 20

DOI: https://doi.org/10.1073/pnas.42.7.412

View Publication

Download PDF

Locations

Proceedings of the National Academy of Sciences - View
PubMed Central - View
Europe PMC (PubMed Central) - View - PDF
PubMed - View

Similar Works

Action	Title	Year	Authors
+	Approximation of stationary processes and the central limit problem	1988	Dalibor Volný
+ PDF Chat	A limit theorem for processes with stationary independent increments	1957	F. Kozin
+	A central limit theorem for non stationary mixing processes	1989	Dalibor Volný
+	A note on the central limit theorem for stochastically continuous processes	1994	Mindaugas Bloznelis Vygantas Paulauskas
+	A central limit theorem for stationary random fields	2012	Mohamed El Machkouri Dalibor Volný Wei Biao Wu
+	A central limit theorem for processes generated by a family of transformations	1991	M. Jabłoński
+	Ergodicity and Central Limit Theorems for a Class of Markov Processes	1989	RABI N. BHATTACHARYA OESOOK LEE
+	A central limit theorem with random indices for stationary linear processes	1993	Issa Fakhre-Zakeri Jamshid Farshidi
+	Functional Central Limit Theorem for some Stationary Process	1972	Hiroshi Negishi
+	Stationary Processes and Ergodic Theory	2006
+	A Note on the Martingale Method of Proving the Central Limit Theorem for Stationary Sequences	2006	Mikhail Gordin
+	A central limit theorem for strictly stationary sequences in terms of slow variation in the limit	1998	Zbigniew S. Szewczak
+	A Central Limit Theorem for Stationary m-Dependent Sequences	2024	Norbert Henze
+	A random functional central limit theorem for stationary linear processes generated by martingales	1997	Issa Fakhre-Zakeri Sangyeol Lee
+	A Central Limit Theorem for Functionals of Gaussian Processes	2009	Ferdinand Hallare
+	A central limit theorem for martingales and an application to branching processes	1978	David John Scott
+	Ergodicity and Central Limit Theorems for Markov Processes	2016	Thomas G. Kurtz
+	Stationary Distribution of a Stochastic Process	2018	V. I. Lotov ELIZAVETA OKHAPKINA
+ PDF Chat	An Elementary Theorem Concerning Stationary Ergodic Processes	1958	Leo Breiman
+	The Ergodic Theorem for stationary processes	1970	Erling Sverdrup

Works That Cite This (15)

Action	Title	Year	Authors
+	Dependence Concepts for Stochastic Processes	1981	Dennis S. Friday
+	Selected Works of Murray Rosenblatt	2011	Richard A. Davis Keh‐Shin Lii Dimitris N. Politis
+	Th e Rosenblatt Process	2011	Murad S. Taqqu
+ PDF Chat	The central limit problem for mixing sequences of random variables	1969	Walter Philipp
+ PDF Chat	Moment inequalities for S n under general dependence restrictions, with applications	1978	Mike Longnecker R. J. Serfling
+ PDF Chat	A remark on serial correlation in maximum likelihood	1983	David K. Levine
+ PDF Chat	Sensitivity of risk measures with respect to the normal approximation of total claim distributions	2011	Volker Krätschmer Henryk Zähle
+	A Conversation with Murray Rosenblatt	2009	David R. Brillinger Richard A. Davis
+ PDF Chat	Central Limit Theorems for dependent variables. I	1981	Christopher S. Withers
+ PDF Chat	A coarsening of the strong mixing condition	2014	Brendan K. Beare

Works Cited by This (1)

Action	Title	Year	Authors
+ PDF Chat	A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION	1956	M. Rosenblatt