Trading (version 3.1)

martingale_strategy_repetitions: Martingale Strategy Repetitions

Description

Calculates the number of repetitions needed for a specific number of consequtive failed trades/bet to appear. This can apply to roulette betting but also trading algorithms which use the same logic on doubling down after a failed trade.

Usage

martingale_strategy_repetitions(
  length_of_targeted_sequence,
  prob_of_success = 18/37,
  simulations_num,
  trials_per_sim,
  quantile_perc
)

Value

A list containing the number of repetitions needed to reach the targeted sequence for the first time in each simulation (will be zero if the sequence is not found) and, when the quantile_perc is set, the above number of repetitions.

Arguments

length_of_targeted_sequence

The number of consecutive failed trades/bets that we try to calculate the expected number of repetitions for

prob_of_success

The probability of a sucessful trade/bet

simulations_num

The number of simulations to be run

trials_per_sim

The number of trials in each simulation

quantile_perc

(Optional) When set, the number of repetitions expected with such probability is returned.

Author

Tasos Grivas <[e-mail]>

References

https://en.wikipedia.org/wiki/Roulette#Betting_strategies_and_tactics

Examples

# This software is covered by GPL license and provided strictly for educational 
# reasons (no actual investment or betting decisions should be taken based on this)
# On top of these, the below example contains a tiny number of simulations and
# trials just to pass CRAN tests - the user would have to highly increase both
# variables when running these.
repetitions_for_failed_sequence = martingale_strategy_repetitions(length_of_targeted_sequence = 8,
prob_of_success = 18/37, simulations_num = 1000, trials_per_sim = 10000, quantile_perc = 0.1)
repetitions_for_failed_sequence$relevant_quantile
summary(repetitions_for_failed_sequence$num_of_trials_needed)