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Volumn 68, Issue 1, 1997, Pages 65-82

Weak convergence of recursions

Author keywords

Diffusion; Invariant measure; Martingale; Stochastic differential equation; Weak convergence

Indexed keywords


EID: 0031591381     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(97)00018-5     Document Type: Article
Times cited : (20)

References (18)
  • 1
    • 0001125558 scopus 로고
    • A class of limit theorems for singular diffusions
    • Basak, G.K., 1991. A class of limit theorems for singular diffusions. J. Multivariate Analysis 39, 44-59.
    • (1991) J. Multivariate Analysis , vol.39 , pp. 44-59
    • Basak, G.K.1
  • 2
    • 0001064056 scopus 로고
    • Stability in distribution for a class of singular diffusions
    • Basak, G.K., Bhattacharya, R.N., 1992. Stability in distribution for a class of singular diffusions. Ann. Probab. 20, 312-321.
    • (1992) Ann. Probab. , vol.20 , pp. 312-321
    • Basak, G.K.1    Bhattacharya, R.N.2
  • 3
    • 0018214750 scopus 로고
    • Criteria for recurrence and existence of invariant measures for multidimensional diffusions
    • Correction Note. Ibid (1980) 8, 1194-1195
    • Bhattacharya, R.N., 1978. Criteria for recurrence and existence of invariant measures for multidimensional diffusions. Ann. Probab. 6, 541-553. Correction Note. Ibid (1980) 8, 1194-1195.
    • (1978) Ann. Probab. , vol.6 , pp. 541-553
    • Bhattacharya, R.N.1
  • 6
    • 0004256573 scopus 로고
    • Addison-Wesley, Reading, MA
    • Breiman, L., 1968. Probability. Addison-Wesley, Reading, MA.
    • (1968) Probability
    • Breiman, L.1
  • 8
    • 0001346514 scopus 로고
    • Distance of probability measures and random variables
    • Dudley, R.M., 1968. Distance of probability measures and random variables. Ann. Math. Statist. 39, 1563-1572.
    • (1968) Ann. Math. Statist. , vol.39 , pp. 1563-1572
    • Dudley, R.M.1
  • 10
    • 0000073325 scopus 로고
    • Ergodic properties of recurrent diffusion processes and stabilization of the solution of the Cauchy problem for parabolic equations
    • Hasminskii, R.Z., 1960. Ergodic properties of recurrent diffusion processes and stabilization of the solution of the Cauchy problem for parabolic equations. Theory Probab. Appl. 5, 179-196.
    • (1960) Theory Probab. Appl. , vol.5 , pp. 179-196
    • Hasminskii, R.Z.1
  • 13
    • 0011026491 scopus 로고
    • A weak convergence theorem with application to the Robbins-Monro process
    • Kersting, G.D., 1978. A weak convergence theorem with application to the Robbins-Monro process. Ann. Probab. 6, 1015-1025.
    • (1978) Ann. Probab. , vol.6 , pp. 1015-1025
    • Kersting, G.D.1
  • 16
    • 0010950846 scopus 로고
    • On Kersting's theorem on weak convergence of recursions
    • Mathematical Learning Model-Theory and Algorithm, Springer, New York
    • Pflug, G.C., 1983. On Kersting's theorem on weak convergence of recursions. In: Mathematical Learning Model-Theory and Algorithm. Lecture Notes in Statistics, Vol. 20, Springer, New York, pp. 168-174.
    • (1983) Lecture Notes in Statistics , vol.20 , pp. 168-174
    • Pflug, G.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.