In one book and a few papers, mostly on navigational tracking, I have found reference to the method of "non-random parameter estimation" but this term is not on the Wikipedia and not in a lot of standard texts. It seems to be similar, however, to maximum likelihood estimation which is a standard method found in every tracking and navigation text. Are these two terms referring to the same thing?
For example, in "Estimation with Applications to Tracking and Navigation" by Bar-Shalom, he writes "A common method of estimating nonrandom parameters is the maximum likelihood method that maximizes the likelihood function (2.2.2-2). This yields the maximum likelihood estimator (MLE)...."
So, from this language I am guessing when other authors speak of "non-random parameter estimation" they are talking about the MLE. Is that right?
First let's unpack the phrase "nonrandom parameter estimation". In context this means "estimating a parameter of a probability distribution for a random variable" where the parameter is a definite value which is only known through sampling of the random variable.
For example, many repeated measurements may be performed in order to estimate the true value of a distance. If the experimental errors are assumed to be normally distributed with mean zero, the measured distances will be samples of a normally distributed random variable whose mean is the true distance. In this case the average (arithmetic mean) of the samples is an estimator of the mean of the normal distribution of the measurement population.
Gauss, who analyzed geodetic survey data for the Kingdom of Hanover, justified this procedure on the basis of minimizing a sum of squares of errors. Today we may recast this justification in terms of the sample mean being a maximum likelihood estimator (MLE) for the normal population mean.
Although an MLE is often used, it is not always the best choice of an estimator. So we shouldn't think that "nonrandom parameter estimation" is the same as MLE. For example, if the distribution is not assumed to be normal, we may find outliers occur more often than in a normal distribution and bias the MLE. For these situations methods based on robust statistics may be better.
To give a simple example, one might replace the sample mean with a sample median (middle value of the ordered observations) because this will be less affected by one or a few very large excursions from the population mean (outliers) than just taking an average of observations would be.
Since the Question mentions "navigational tracking" it may be relevant to note the classic 1964 paper by Peter Huber, Robust Estimation of a Location Parameter: