References
Published online by Cambridge University Press: 07 May 2021
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Foundations of Constructive Probability Theory , pp. 606 - 608Publisher: Cambridge University PressPrint publication year: 2021
References
[Aldous 1978]
Aldous, D.: Stopping Times and Tightness, Annals of Probability, Vol. 6, no. 2, 335–340, 1978CrossRefGoogle Scholar
[Billingsley 1968]
Billingsley, P.: Convergence of Probability Measures. New York: John Wiley & Sons, 1968Google Scholar
[Billingsley 1974]
Billingsley, P.: Conditional Distributions and Tightness, Annals of Probability, Vol. 2, no. 3, 480–485, 1974Google Scholar
[Billingsley 1999]
Billingsley, P.: Convergence of Probability Measures (2nd ed.). New York: John Wiley & Sons, 1999Google Scholar
[Bishop 1967]
Bishop, E.: Foundations of Constructive Analysis. New York, San Francisco, St. Louis, Toronto, London, and Sydney: McGraw-Hill, 1967Google Scholar
[Bishop and Bridges 1985]
Bishop, E., and Bridges, D.: Constructive Analysis. Berlin, Heidelberg, New York, and Tokyo: Springer, 1985Google Scholar
[Bishop and Cheng 1972]
Bishop, E., and Cheng, H.: Constructive Measure Theory, AMS Memoir no. 116, 1972Google Scholar
[Blumenthal and Getoor 1968]
Blumenthal, R. M., and Getoor, R. K.: Markov Processes and Potential Theory, NewYork and London: Academic Press, 1968Google Scholar
[Chan 1974]
Chan, Y. K.: Notes on Constructive Probability Theory, Annals of Probability, Vol. 2, no. 1, 51–75, 1974CrossRefGoogle Scholar
[Chan 1975]
Chan, Y. K.: A Short Proof of an Existence Theorem in Constructive Measure Theory, Proceedings of the American Mathematical Society, Vol. 48, no. 2, 435–437, 1975CrossRefGoogle Scholar
[Chentsov 1956]
Chentsov, N.: Weak Convergence of Stochastic Processes with Trajectories have No Discontinuities of the Second Kind, Theory of Probability & Its Applications, Vol. 1, no. 1, 140– 144, 1956.CrossRefGoogle Scholar
[Chung 1968]
Chung, K. L.: A Course in Probability Theory. New York, Chicago, San Francisco, and Atlanta: Harcourt, Brace & World, 1968Google Scholar
[Doob 1953]
Doob, J. L.: Stochastic Processes. New York, London, and Sydney: John Wiley & Sons, 1953Google Scholar
[Durret 1984]
Durrett, R.: Brownian Motion and Martingales in Analysis. Belmont: Wadsworth, 1984Google Scholar
[Feller I 1971]
Feller, W.: An Introduction to Probability and Its Applications, Vol. 1 (3rd ed.). New York: John Wiley & Sons, 1971Google Scholar
[Feller II 1971]
Feller, W.: An Introduction to Probability and Its Applications, Vol. 2 (2nd ed.). New York: John Wiley & Sons, 1971Google Scholar
[Garsia, Rodemich, and Rumsey 1970]
Garsia, A. M., Rodemich, E., and Rumsey, H. Jr.: A Real Variable Lemma and the Continuity of Paths of Some Gaussian Processes, Indiana University Mathematics Journal, Vol. 20, no. 6, 565–578, 1970.Google Scholar
[Grigelionis 1973]
Grigelionis, B.: On the Relative Compactness of Sets of Probability Measures in D[0,∞) (X), Mathematical Transactions of the Academy of Sciences of the Lithuanian SSR, Vol. 13, no. 4, 576–586, 1973Google Scholar
[Kolmogorov 1956]
Kolmogorov, A. N.: Asymptotic Characteristics of Some Completely Bounded Metric Spaces, Proceedings of the USSR Academy of Sciences, Vol. 108, no. 3, 585–589, 1956Google Scholar
[Loeve 1960]
Loeve, M.: Probability Theory (2nd ed.). Princeton, Toronto, New York, and London: Van Nostrand, 1960Google Scholar
[Lorentz 1966]
Lorentz, G.G.: Metric Entropy and Approximation. Bulletin of the American Mathematical Society, Vol. 72, no. 6, 903–937, 1966CrossRefGoogle Scholar
[Mines, Richman, and Ruitenburg 1988]
Mines, R., Richman, F., and Ruitenburg, W.: A Course in Constructive Algebra. New York: Springer, 1988Google Scholar
[Neveu 1965]
Neveu, J.: Mathematical Foundations of the Calculus of Probability (translated by A. Feinstein). San Francisco, London, and Amsterdam: Holden-Day, 1965Google Scholar
[Pollard 1984]
Pollard, D.: Convergence of Stochastic Processes. New York, Berlin, Heidelberg, and Tokyo: Springer, 1984Google Scholar
[Potthoff 2009]
Potthoff, J.: Sample Properties of Random Fields, I, Separability and Measurability, Communications on Stochastic Analysis, Vol. 3, no. 1, 143–153, 2009Google Scholar
[Potthoff 2009-2]
Potthoff, J.: Sample Properties of Random Fields, II, Continuity, Communications on Stochastic Analysis, Vol. 3, no. 3, 331–348, 2009Google Scholar
[Potthoff 2009-3]
Potthoff, J.: Sample Properties of Random Fields, III, Differentiability, Communications on Stochastic Analysis, Vol. 4, no. 3, 335–353, 2010Google Scholar
[Richman 1982]
Richman, F.: Meaning and Information in Constructive Mathematics. American Mathematical Monthly, Vol. 89, 385–388 (1982)Google Scholar
[Ross 2003]
Ross, S.: Introduction to Probability Models. San Diego, London, and Burlington: Academic Press, 2003Google Scholar
[Skorokhod 1956]
Skorokhod, A. V.: Limit Theorems for Stochastic Processes. Theory of Probability and Its Applications, Vol. I, no. 3, 1956Google Scholar
[Stolzenberg 1970]
Stolzenberg, G.: Review of “Foundation of Constructive Analysis.” Bulletin of the American Mathematical Society, Vol. 76, 301–323, 1970CrossRefGoogle Scholar