Analysis and simulation of political parties with different statistical distributions

Statistical results of federal deputies' elections by political party were analyzed, observing a normal distribution for the major parties and a heavy tails distribution for the minor parties and/or with disappearing tendencies. The heavy tails distribution that particularly predominated was the log-logistic type. With the alpha shape parameter of the log-logistic distribution minor to two, we found that the small parties tend to disappear. Probabilistic simulations were realized in a model with two parties and with different distributions (normal and log-logistic) and we found that, indeed, the log-logistic distribution party with its alpha parameter minor to two tends to win a few times in an election. Therefore, this produces a loss of supporters over time.