AN APPLICATION ON EARTHQUAKE DATA UNDER NON-RESPONSE SCHEME IN SAMPLING THEORY

While working on the population, the difficult situation of reaching all units is sometimes
even impossible, as well as financial, time, manpower, etc. There are also restrictions. For this
reason, the sample that can represent the population is used instead of the population. At this
point, the samples are determined with the most appropriate sampling method, an estimation is
made for the population parameters (mean, variance, ratio, etc.) by using these samples. The
aim is to estimate the population parameter of the study with the most efficient estimator among
existing estimators. For this reason, the most efficient estimator is tried to be proposed by using
or producing many different methods in the literature. In such studies, it is assumed that all
information is obtained for the variable of study (y) and auxiliary variable (x) in the estimators.
However, this will not always be the case when considering the situations that may be
encountered in daily life. Therefore, with a new approach developed by Hansen and Hurwitz
(1946), estimators have started to be proposed by taking into account the non-response
situation.
For the purpose of the study, an estimator was proposed in case of non-response in both
the variable of study and the auxiliary variable. Theoretical inferences about the proposed
estimator are supported by a numerical example. At this stage, the magnitude which are
measured as 4 and larger that occurred and the depth of the earthquakes in the Aegean Region were
handled in the form of the variable of study and auxiliary variable, respectively, analyses
were made, and the results were discussed in detail.