Publications

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Publications of Aurel SPÃTARU:

Books

1.
Elemente de Analiza pentru Probabilisti, Editura Academiei, Bucuresti 1991, 200 pp.

Research Papers

1.
On epsilon-entropy associated to a product probability space. Stud. Cerc. Mat. 24, 1309-1316 (1972).

2.
On reliability p-functions. Stud. Cerc. Mat. 24, 1441-1452 (1972).

3.
(with M. Iosifescu) On denumerable chains of infinite order. Z.Wahrscheinlichkeitstheorie verw. Geb. 27, 195-214 (1973).

4.
Further results in stochastically monotone Markov chains theory. Rev. Roumaine Math. Pures Appl. 19, 493-501 (1974).

5.
Note on Kingman's semigroup. Rev. Roumaine Math. Pures Appl. 19, 1047-1048 (1974).

6.
On a series concerning noncritical Galton-Watson processes. Rev. Roumaine Math. Pures Appl. 21, 767-772 (1976).

7.
Some f-expansions producing stochastically independent digits. Sankhya Ser. A 39, 160-169 (1977).

8.
(j,f)-expansions of real numbers. Rev. Roumaine Math. Pures Appl. 22, 1459-1469 (1977).

9.
Stochastic independence of the digits of an f-expansion. Stud. Cerc. Mat. 30, 75-117 (1978).

10.
Dichotomies for probability measures induced by (f1,f2,...)-expansions. Z.Wahrscheinlichkeitstheorie verw. Geb. 45, 337-352 (1978).

11.
On absolute continuity and singularity of product probability measures. Rev. Roumaine Math. Pures Appl. 28, 171-193 (1983).

12.
Equivalent expansions for real numbers.Stud. Cerc. Mat. 39, 3448-451 (1987).

13.
Properties of branching processes with denumerably many types. Rev. Roumaine Math. Pures Appl. 34, 747-759 (1989).

14.
Construction of a Markov field on an infinite tree. Advances in Math. 81, 105-116 (1990).

15.
Strengthening the Hsu-Robbins-Erdõs theorem. Rev. Roumaine Math. Pures Appl. 35, 463-465 (1990).

16.
A series concerning subcritical multitype branching processes. J. Math. Anal. Appl. 152, 515-523 (1990).

17.
A maximum sequence in a critical multitype branching process. J. Appl. Probab. 28, 893-897 (1991).

18.
Equations concerning maxima of critical Galton-Watson processes. Rev. Roumaine Math. Pures Appl. 37, 935-937 (1992).

19.
A generalization of the Hsu-Robbins-Erdõs theorem. J. Math. Anal. Appl. 187, 371-383 (1994).

20.
Markov random fields on trees. Rev. Roumaine Math. Pures Appl. 44, 129-142 (1999).

21.
Precise asymptotics in Spitzer's law of large numbers. J. Theoret. Probab. 12, 811-819 (1999).

22.
Extensions of the Hsu-Robbins-Erdos theorem. Research Communications of the conference held in the memory of Paul Erdos, Budapest, Hungary, July 4-11, 1999, pp. 236-241, Janos Bolyai Mathematical Society, Budapest.

23.
On a series concerning moderate deviations. Rev. Roumaine Math. Pures Appl. 45, 883-896 (2000)

24.
(with A. Gut) Precise asymptotics in the Baum-Katz and Davis laws of large numbers. J. Math. Anal. Appl. 248, 233-246 (2000)

25.
(with A. Gut) Precise asymptotics in the law of the iterated logarithm. Ann. Probab. 28, 1870-1883 (2000)

26.
Precise asymptotics for series involving large, moderate and small deviations. In: Limit Theorems in Probability and Statistics II.(Budapest, 2002, pp. 543-551, I. Berkes, E. Csaki, M. Csorgo, eds.).

27.
(with A. Gut) Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables. J. Multivariate Anal. 86, 398-422 (2003)

28.
Precise asymptotics for a series of T. L. Lai. Proc. Amer. Math. Soc. 132, 3387-3395 (2004).

29.
Exact asymptotics in loglog laws for random fields. J. Theoret. Probab. 17, 943-965 (2004).

30.
Convergence rates for tail probabilities, J. Theoret. Probab. 18, 933-947 (2005).

31.
(with D. Li) Refinement of convergence rates for tail probabilities, J. Theoret. Probab. 18, 933-947 (2005)

32.
Strengthening classical results on convergence rates in strong limit theorems, Probab. Theory Relat. Fields 136, 1-18 (2006)

33.
(with D. Li) A converse to precise asymptotic results, Statist. Probab. Lett. 76, 503-506(2006)

34.
Improved convergence rates for tail probabilities, Bull. Transilv. Univ. Brasov Ser. B (N.S.) 2, 137-142 (2009)

35.
Series of tail distributions of finitely inhomogeneous random walks, J. Math. Anal. Appl. 369, 312-316 (2010)

36.
The law of the iterated logarithm for finitely inhomogeneous random walks, J. Theoret. Probab. 23, 417-427 (2010)

37.
Generalizing a theorem of Katz, Statis. Probab. Lett. 80, 1136-1140 (2010)

38.
Upper bounds for series involving moderate and small deviations, Proc. Amer. Math. Soc. 138, 2601-2606 (2010)

39.
Only the first term of some series counts, Statist. Probab. Lett. 81, 1547-1551 (2011)

40.
Improved convergence rates for tail probabilities for sums of i.i.d. Banach space valued random vectors, J. Math. Anal. Appl. 386, 236-240 (2012)

41.
(with D. Li) Asymptotics related to a series of T. L. Lai, Statist. Probab. Lett. 82, 1538-1548 (2012)

Back

1.	On epsilon-entropy associated to a product probability space. Stud. Cerc. Mat. 24, 1309-1316 (1972).
2.	On reliability p-functions. Stud. Cerc. Mat. 24, 1441-1452 (1972).
3.	(with M. Iosifescu) On denumerable chains of infinite order. Z.Wahrscheinlichkeitstheorie verw. Geb. 27, 195-214 (1973).
4.	Further results in stochastically monotone Markov chains theory. Rev. Roumaine Math. Pures Appl. 19, 493-501 (1974).
5.	Note on Kingman's semigroup. Rev. Roumaine Math. Pures Appl. 19, 1047-1048 (1974).
6.	On a series concerning noncritical Galton-Watson processes. Rev. Roumaine Math. Pures Appl. 21, 767-772 (1976).
7.	Some f-expansions producing stochastically independent digits. Sankhya Ser. A 39, 160-169 (1977).
8.	(j,f)-expansions of real numbers. Rev. Roumaine Math. Pures Appl. 22, 1459-1469 (1977).
9.	Stochastic independence of the digits of an f-expansion. Stud. Cerc. Mat. 30, 75-117 (1978).
10.	Dichotomies for probability measures induced by (f1,f2,...)-expansions. Z.Wahrscheinlichkeitstheorie verw. Geb. 45, 337-352 (1978).
11.	On absolute continuity and singularity of product probability measures. Rev. Roumaine Math. Pures Appl. 28, 171-193 (1983).
12.	Equivalent expansions for real numbers.Stud. Cerc. Mat. 39, 3448-451 (1987).
13.	Properties of branching processes with denumerably many types. Rev. Roumaine Math. Pures Appl. 34, 747-759 (1989).
14.	Construction of a Markov field on an infinite tree. Advances in Math. 81, 105-116 (1990).
15.	Strengthening the Hsu-Robbins-Erdõs theorem. Rev. Roumaine Math. Pures Appl. 35, 463-465 (1990).
16.	A series concerning subcritical multitype branching processes. J. Math. Anal. Appl. 152, 515-523 (1990).
17.	A maximum sequence in a critical multitype branching process. J. Appl. Probab. 28, 893-897 (1991).
18.	Equations concerning maxima of critical Galton-Watson processes. Rev. Roumaine Math. Pures Appl. 37, 935-937 (1992).
19.	A generalization of the Hsu-Robbins-Erdõs theorem. J. Math. Anal. Appl. 187, 371-383 (1994).
20.	Markov random fields on trees. Rev. Roumaine Math. Pures Appl. 44, 129-142 (1999).
21.	Precise asymptotics in Spitzer's law of large numbers. J. Theoret. Probab. 12, 811-819 (1999).
22.	Extensions of the Hsu-Robbins-Erdos theorem. Research Communications of the conference held in the memory of Paul Erdos, Budapest, Hungary, July 4-11, 1999, pp. 236-241, Janos Bolyai Mathematical Society, Budapest.
23.	On a series concerning moderate deviations. Rev. Roumaine Math. Pures Appl. 45, 883-896 (2000)
24.	(with A. Gut) Precise asymptotics in the Baum-Katz and Davis laws of large numbers. J. Math. Anal. Appl. 248, 233-246 (2000)
25.	(with A. Gut) Precise asymptotics in the law of the iterated logarithm. Ann. Probab. 28, 1870-1883 (2000)
26.	Precise asymptotics for series involving large, moderate and small deviations. In: Limit Theorems in Probability and Statistics II.(Budapest, 2002, pp. 543-551, I. Berkes, E. Csaki, M. Csorgo, eds.).
27.	(with A. Gut) Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables. J. Multivariate Anal. 86, 398-422 (2003)
28.	Precise asymptotics for a series of T. L. Lai. Proc. Amer. Math. Soc. 132, 3387-3395 (2004).
29.	Exact asymptotics in loglog laws for random fields. J. Theoret. Probab. 17, 943-965 (2004).
30.	Convergence rates for tail probabilities, J. Theoret. Probab. 18, 933-947 (2005).
31.	(with D. Li) Refinement of convergence rates for tail probabilities, J. Theoret. Probab. 18, 933-947 (2005)
32.	Strengthening classical results on convergence rates in strong limit theorems, Probab. Theory Relat. Fields 136, 1-18 (2006)
33.	(with D. Li) A converse to precise asymptotic results, Statist. Probab. Lett. 76, 503-506(2006)
34.	Improved convergence rates for tail probabilities, Bull. Transilv. Univ. Brasov Ser. B (N.S.) 2, 137-142 (2009)
35.	Series of tail distributions of finitely inhomogeneous random walks, J. Math. Anal. Appl. 369, 312-316 (2010)
36.	The law of the iterated logarithm for finitely inhomogeneous random walks, J. Theoret. Probab. 23, 417-427 (2010)
37.	Generalizing a theorem of Katz, Statis. Probab. Lett. 80, 1136-1140 (2010)
38.	Upper bounds for series involving moderate and small deviations, Proc. Amer. Math. Soc. 138, 2601-2606 (2010)
39.	Only the first term of some series counts, Statist. Probab. Lett. 81, 1547-1551 (2011)
40.	Improved convergence rates for tail probabilities for sums of i.i.d. Banach space valued random vectors, J. Math. Anal. Appl. 386, 236-240 (2012)
41.	(with D. Li) Asymptotics related to a series of T. L. Lai, Statist. Probab. Lett. 82, 1538-1548 (2012)