The statistical evaluation of social network dynamics

Sociological Methodology

Volumn 31, Issue 1, 2001, Pages 361-395

  Snijders, Tom A B ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035741510     PISSN: 00811750     EISSN: None     Source Type: Journal    
DOI: 10.1111/0081-1750.00099     Document Type: Review

References (34)

1. Bishop, Yvonne M., Stephen E. Fienberg, and Paul Holland. 1975. Discrete Multivariate Analysis. Cambridge, MA: MIT Press.
2. Bowman, K.O., and L.R. Shenton. 1985. "Method of Moments." Pp. 467-73 in Encyclopedia of Statistical Sciences, vol. 5, edited by S. Kotz, N. L. Johnson, and C. B. Read. New York: Wiley.
3. Doreian, Patrick, and Frans N. Stokman, eds. 1997. Evolution of Social Networks. Amsterdam: Gordon and Breach.
4. Fararo, Thomas J., and Norman P. Hummon. 1994. "Discrete Event Simulation and Theoretical Models in Sociology." Advances in Group Processes 11:25-66.
5. Frank, Ove, and David Strauss. 1986. "Markov Graphs." Journal of the American Statistical Association 81:832-42.
6. Holland, Paul, and Samuel Leinhardt. 1977a. "A Dynamic Model for Social Networks." Journal of Mathematical Sociology 5:5-20.
7. _. 1977b. "Social Structure as a Network Process." Zeitschrift für Soziologie 6:386-402.
8. Karlin, S., and H. M. Taylor. 1975. A First Course in Stochastic Processes. New York: Academic Press.
9. Katz, Leo, and Charles H. Proctor. 1959. "The Configuration of Interpersonal Relations in a Group as a Time-dependent Stochastic Process." Psychometrika 24:317-27.
10. Kushner, Herbert J. and George G. Yin. 1997. Stochastic Approximation: Algorithms and Applications. New York: Springer.
11. Leenders, Roger Th. A. J. 1995a. "Models for Network Dynamics: A Markovian Framework." Journal of Mathematical Sociology 20:1-21.
12. _. 1995b. Structure and Influence. Statistical Models for the Dynamics of Actor Attributes, Network Structure, and Their Interdependence. Amsterdam: Thesis Publishers.
13. Maddala, G. S. 1983. Limited-dependent and Qualitative Variables in Econometrics. Cambridge, England: Cambridge University Press.
14. Mayer, T. F. 1984. "Parties and Networks: Stochastic Models for Relationship Networks." Journal of Mathematical Sociology 10:51-103.
15. Norris, J. R. 1997. Markov Chains. Cambridge, England: Cambridge University Press.
16. Pflug, Georg Ch. 1990. "Non-asymptotic Confidence Bounds for Stochastic Approximation Algorithms with Constant Step Size." Monatshefte für Mathematik 110:297-314.
17. _. 1996. Optimization of Stochastic Models. Boston: Kluwer.
18. Polyak, B. T. 1990. "New Method of Stochastic Approximation Type." Automation and Remote Control 51:937-46.
19. Robbins, H., and S. Monro. 1951. "A Stochastic Approximation Method." Annals of Mathematical Statistics 22:400-407.
20. Ruppert, David. 1988. "Efficient Estimation from a Slowly Convergent Robbins-Monro Process." Technical Report No. 781, School of Operations Research and Industrial Engineering, Cornell University.
21. _. 1991. "Stochastic Approximation." In Handbook of Sequential Analysis, edited by B. K. Gosh, and P. K. Sen. New York: Marcel Dekker.
22. Snijders, Tom A. B. 1996. "Stochastic Actor-oriented Models for Network Change." Journal of Mathematical Sociology 21:149-72. Also published in Doreian and Stokman (1997).
23. _. 1999. "The Transition Probabilities of the Reciprocity Model." Journal of Mathematical Sociology 23:241-53.
24. Snijders, Tom A. B., and Marijtje A. J. Van Duijn. 1997. "Simulation for Statistical Inference in Dynamic Network Models." Pp. 493-512 in Simulating Social Phenomena, edited by R. Conte, R. Hegselmann, and P. Terna. Berlin: Springer.
25. Van de Bunt, Gerhard G. 1999. Friends by Choice. An Actor-oriented Statistical Network Model for Friendship Networks Through Time. Amsterdam: Thesis Publishers, 1999.
26. Van de Bunt, Gerhard G., Marijtje A. J. Van Duijn, and Tom A. B. Snijders. 1999. "Friendship Networks Through Time: An Actor-oriented Statistical Network Model." Computational and Mathematical Organization Theory 5:167-192.
27. Wasserman, Stanley. 1977. "Stochastic Models for Directed Graphs." Ph.D. dissertation, Department of Statistics, Harvard University.
28. _. 1979. "A Stochastic Model for Directed Graphs with Transition Rates Determined by Reciprocity." Pp. 392-412 in Sociological Methodology 1980, edited by K. F. Schuessler. San Francisco: Jossey-Bass.
29. _. 1980. "Analyzing Social Networks as Stochastic Processes." Journal of the American Statistical Association 75:280-94.
30. Wasserman, Stanley, and Katherine Faust. 1994. Social Network Analysis: Methods and Applications. New York: Cambridge University Press.
31. Wasserman, Stanley, and D. Iacobucci. 1988. "Sequential Social Network Data." Psychometrika 53:261-82.
32. Wasserman, Stanley, and Philippa Pattison. 1996. "Logit Models and Logistic Regression for Social Networks: I. An Introduction to Markov Graphs and p*." Psychometrika 61:401-25.
33. Yin, George. 1991. "On Extensions of Polyak's Averaging Approach to Stochastic Approximation." Stochastics 36:245-64.
34. Zeggelink, Evelien P. H. 1994. "Dynamics of Structure: An Individual Oriented Approach." Social Networks 16:295-333.