1. A method for estimating a value of a missing datum in a multivariate time series of data comprising: generating a plurality of medical data sets for a patient with a telehealth device, each medical data set being generated at one time period in a plurality of times; storing the plurality of medical data sets for the patient in a memory in association with the time at which each medical data set is generated with a controller communicatively coupled to the memory; retrieving a plurality of variables in the plurality of medical data sets corresponding to the plurality of times from the memory with the controller; detecting a missing datum and a time period of the missing datum corresponding to one variable in the plurality of variables for one of the medical data sets and one time in the plurality of times in the retrieved data with the controller; generating data corresponding to a function of a mean of each of the plurality of variables with respect to time with the controller; identifying, with the controller, a plurality of random variable vectors with reference to the plurality of times, each random variable vector including a plurality of random variables that correspond to each of the plurality of variables; generating data corresponding to a covariance matrix of the plurality of random variable vectors with the controller; generating, with the controller, a conditional Gaussian mixture model corresponding to the one time of the missing datum with reference to the polynomial of the mean of each variable at the one time, the covariance matrix, and the data corresponding to at least one variable in the plurality of variables other than the one variable; identifying an estimated value for the missing datum with reference to the conditional Gaussian mixture model with the controller; and storing the estimated value for the missing datum in the memory with the controller to enable processing of the plurality of medical data sets for the patient including the data associated with the plurality of variables corresponding to the plurality of times, the estimated value being stored with reference to the one variable and the one time of the missing datum.