Authors

1 Associate Professor in Shahid Chamran University of Ahvaz

2 M.A. Student in Shahid Chamran University of Ahvaz

Abstract

In this article, the monthly  data of Bahar Azadi gold coin price is studied by using Partially Exchangeable Sequences for a period of 27 years. The data based on the increasing or decreasing prices in comparison to the previous month generate a sequence of success and failure runs. The goal is to obtain the trend of ascending or descending of coin price by using runs. First, we verify partially exchangeability and determine the order of dependency data by using Monte Carlo simulation. Then, we determine the expected waiting time to achieve the first success runs of different lengths. The results show that the data are partially exchangeable with order one, and the average time to observe an increasing trend of the price of coin for the maximum six months is predictable.

Keywords