Goodness-of-fit Tests for Sequential Orbit Determination

Goodness-of-fit tests – sometimes called consistency tests – are useful for investigating the lack of optimality of an estimator. Statistical hypothesis tests involving observation residuals are often recommended; however, the most common diagnostic tests may have limited applicability to general orbit determination. In this paper, some less-familiar test statistics are presented and their usage is modified to apply them to observation residuals that are irregularly spaced with time. The supplemental test statistics are assessed using simulated time-series and sequential-estimation results based on genuine satellite tracking data.

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