Weibull distribution was suggested by Waloddi Weibull, a Swedish professor, in 1939, to explain the well known but unexplained facts that the relative strength of a specimen decreases with increasing dimensions and that its bending strength is larger than its tensile strength. This theory was based on the assumption that the strength is a stochastic quantity, which has to be specified by a distribution function with one or more parameters. It was also assumed that this function is a property of the material, and that the previously mentioned size effects are reflected by changes in the values of the parameters of the given function.

We discuss the false-alarm probability versus threshold for Weibull clutter. Then we consider the design of a CFAR (constant false alarm rate) detector for Weibull-distributed clutter. Finally, we discuss the non- parametric, i.e., distribution-free, CFAR detector and its performance.

Topics discussed in this section are: Weibull and log-normal distributed sea-ice clutter; Akaike information criterion; determination of the optimum probability-density function for sea-ice clutter using AIC; and suppression of Weibull sea-ice clutter and detection of target.