Statistical Properties and Applications of Correlated Length Intervals of Some Stationary Random Point Processes

Figure 3

The points and circles are the numerical results of the variance 𝜎^2𝑛 and the average number ⟨𝑛⟩ versus 𝑐 for the values of the parameters chosen equal to 𝑎=1,𝑏=1,𝑡=1. The theoretical approximations calculated for 𝑐≫1 are given by (33a) and (33b) respectively (a) and drawn in solid lines. The points and circles are the numerical results of the differences ℎ_𝑛=𝑃(0)−𝑃(1) and 𝑘_𝑛=𝑄(0)−𝑄(1) versus 𝑐 for 𝑎=1,𝑏=1,𝑡=1. The theoretical approximations calculated for 𝑐≫1 are given by (34a) and (34b) respectively (b) and drawn in solid lines.

(a)

(b)