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This research explores nonparametric inference for multivariate counting processes and their intensity functions.

Nonparametric Inference for a Family of Counting Processes

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Randomized trial compares counting processes in biological data, highlighting a new nonparametric method.

This research explores nonparametric inference for multivariate counting processes and their intensity functions.
Developed a statistical model using martingale-based approach for multivariate counting processes.
Defined and studied an empirical process estimating cumulative functions from observed data over time.
Formulated tests for comparing two counting processes based on generalized rank tests.
Established consistency and weak convergence for the empirical process estimating cumulative functions.
Defined tests demonstrated effectiveness in comparing two counting processes with biological data.
Provided applications showing new methods for analyzing survival data and related processes.

Odd O. Aalen (1978) studied this question.

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