A neutrosophic Student’s t –type of statistic for AR (۱) random processes

Neutrosophic statistics are used when one is dealing with imprecise and indeterminate data or parameters. In the present paper we propose a method for performing a neutrosophic Student’s t –type of statistical test that concerns the population mean when data arise from an autoregressive process of order ۱ (AR(۱)). In classical statistics, data obtained through this process are not independent when the autocorrelation coefficient of the process is not equal to ۰, and hence the usual Student’s t distribution is inadequate for inferring about the population mean; however a result obtained in earlier literature states that a Student’s t –type of statistic, which is asymptotically normally distributed, can be used instead. Our method is based on the neutrosophic version of this result and it is implemented using simulated data.  

کلیدواژه ها:

Neutrosophic statistics ، Neutrosophic hypotheses ، Neutrosophic χ^۲ ، Indeterminate data ، Autocorrelation