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Monte Carlo errors estimation routine



The Next CEO of Stack OverflowSmall Markov chain Monte Carlo implementationMonte Carlo coin flip simulationMonte Carlo estimation of the Hypergeometric FunctionHamiltonian Monte Carlo in ScalaMonte Carlo AI in 21 gameMonte Carlo pi calculationMonte Carlo asset price simulationMonte Carlo simulation of amoeba populationMonte Carlo simulation to price an Option in PythonMonte Carlo Simulation of P-Value












1












$begingroup$


I would value your opinion on the following piece of code. I am rather new to both Python and Monte Carlo analysis, so I was wondering whether the routine makes sense to more experienced and knowledgeable users.



def MC_analysis_a():
x = spin_lock_durations
y_signal_a = (a_norm1, a_norm2, a_norm3, a_norm4, a_norm5, a_norm6, a_norm7, a_norm8)
x = np.array(x, dtype = float)
y_signal_a = np.array(y_signal_a, dtype = float)

def func(x, a, b):
return a * np.exp(-b * x)

initial_guess = [1.0, 1.0]
fitting_parameters, covariance_matrix = optimize.curve_fit(func, x, y_signal_a, initial_guess)
print(round(fitting_parameters[1], 2))

# ---> PRODUCING PARAMETERS ESTIMATES

total_iterations = 5000
MC_pars = np.array([])

for iTrial in range(total_iterations):
xTrial = x
yTrial = y_signal_a + np.random.normal(loc = y_signal_a, scale = e_signal_a, size = np.size(y_signal_a))
try:
iteration_identifiers, covariance_matrix = optimize.curve_fit(func, xTrial, yTrial, initial_guess)
except:
dumdum = 1
continue

# ---> STACKING RESULTS

if np.size(MC_pars) < 1:
MC_pars = np.copy(iteration_identifiers)
else:
MC_pars = np.vstack((MC_pars, iteration_identifiers))

# ---> SLICING THE ARRAY

print(np.shape(MC_pars))
# print(np.median(aFitpyars[:,1]))
print(np.std(MC_pars[:,1]))


The output I get is apparently satisfactory and plausible.



Many thanks in advance to any contributor!










share|improve this question







New contributor




Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Welcome to Code Review! In order to get the best possible outcome from the review please change your code so that is is runnable and complete (How to create a MWE?, minimal is not so important here). This allows users to verify that it is actually on-topic as well as to get a better feeling on what you actually want to accomplish.
    $endgroup$
    – Alex
    47 mins ago












  • $begingroup$
    Does the code need to be generalised in any particular way? Are you wanting to apply it to different datasets, or to fit a different family of curves? Do you want to store the output for further analysis?
    $endgroup$
    – Russ Hyde
    46 mins ago


















1












$begingroup$


I would value your opinion on the following piece of code. I am rather new to both Python and Monte Carlo analysis, so I was wondering whether the routine makes sense to more experienced and knowledgeable users.



def MC_analysis_a():
x = spin_lock_durations
y_signal_a = (a_norm1, a_norm2, a_norm3, a_norm4, a_norm5, a_norm6, a_norm7, a_norm8)
x = np.array(x, dtype = float)
y_signal_a = np.array(y_signal_a, dtype = float)

def func(x, a, b):
return a * np.exp(-b * x)

initial_guess = [1.0, 1.0]
fitting_parameters, covariance_matrix = optimize.curve_fit(func, x, y_signal_a, initial_guess)
print(round(fitting_parameters[1], 2))

# ---> PRODUCING PARAMETERS ESTIMATES

total_iterations = 5000
MC_pars = np.array([])

for iTrial in range(total_iterations):
xTrial = x
yTrial = y_signal_a + np.random.normal(loc = y_signal_a, scale = e_signal_a, size = np.size(y_signal_a))
try:
iteration_identifiers, covariance_matrix = optimize.curve_fit(func, xTrial, yTrial, initial_guess)
except:
dumdum = 1
continue

# ---> STACKING RESULTS

if np.size(MC_pars) < 1:
MC_pars = np.copy(iteration_identifiers)
else:
MC_pars = np.vstack((MC_pars, iteration_identifiers))

# ---> SLICING THE ARRAY

print(np.shape(MC_pars))
# print(np.median(aFitpyars[:,1]))
print(np.std(MC_pars[:,1]))


The output I get is apparently satisfactory and plausible.



Many thanks in advance to any contributor!










share|improve this question







New contributor




Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Welcome to Code Review! In order to get the best possible outcome from the review please change your code so that is is runnable and complete (How to create a MWE?, minimal is not so important here). This allows users to verify that it is actually on-topic as well as to get a better feeling on what you actually want to accomplish.
    $endgroup$
    – Alex
    47 mins ago












  • $begingroup$
    Does the code need to be generalised in any particular way? Are you wanting to apply it to different datasets, or to fit a different family of curves? Do you want to store the output for further analysis?
    $endgroup$
    – Russ Hyde
    46 mins ago
















1












1








1


1



$begingroup$


I would value your opinion on the following piece of code. I am rather new to both Python and Monte Carlo analysis, so I was wondering whether the routine makes sense to more experienced and knowledgeable users.



def MC_analysis_a():
x = spin_lock_durations
y_signal_a = (a_norm1, a_norm2, a_norm3, a_norm4, a_norm5, a_norm6, a_norm7, a_norm8)
x = np.array(x, dtype = float)
y_signal_a = np.array(y_signal_a, dtype = float)

def func(x, a, b):
return a * np.exp(-b * x)

initial_guess = [1.0, 1.0]
fitting_parameters, covariance_matrix = optimize.curve_fit(func, x, y_signal_a, initial_guess)
print(round(fitting_parameters[1], 2))

# ---> PRODUCING PARAMETERS ESTIMATES

total_iterations = 5000
MC_pars = np.array([])

for iTrial in range(total_iterations):
xTrial = x
yTrial = y_signal_a + np.random.normal(loc = y_signal_a, scale = e_signal_a, size = np.size(y_signal_a))
try:
iteration_identifiers, covariance_matrix = optimize.curve_fit(func, xTrial, yTrial, initial_guess)
except:
dumdum = 1
continue

# ---> STACKING RESULTS

if np.size(MC_pars) < 1:
MC_pars = np.copy(iteration_identifiers)
else:
MC_pars = np.vstack((MC_pars, iteration_identifiers))

# ---> SLICING THE ARRAY

print(np.shape(MC_pars))
# print(np.median(aFitpyars[:,1]))
print(np.std(MC_pars[:,1]))


The output I get is apparently satisfactory and plausible.



Many thanks in advance to any contributor!










share|improve this question







New contributor




Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




I would value your opinion on the following piece of code. I am rather new to both Python and Monte Carlo analysis, so I was wondering whether the routine makes sense to more experienced and knowledgeable users.



def MC_analysis_a():
x = spin_lock_durations
y_signal_a = (a_norm1, a_norm2, a_norm3, a_norm4, a_norm5, a_norm6, a_norm7, a_norm8)
x = np.array(x, dtype = float)
y_signal_a = np.array(y_signal_a, dtype = float)

def func(x, a, b):
return a * np.exp(-b * x)

initial_guess = [1.0, 1.0]
fitting_parameters, covariance_matrix = optimize.curve_fit(func, x, y_signal_a, initial_guess)
print(round(fitting_parameters[1], 2))

# ---> PRODUCING PARAMETERS ESTIMATES

total_iterations = 5000
MC_pars = np.array([])

for iTrial in range(total_iterations):
xTrial = x
yTrial = y_signal_a + np.random.normal(loc = y_signal_a, scale = e_signal_a, size = np.size(y_signal_a))
try:
iteration_identifiers, covariance_matrix = optimize.curve_fit(func, xTrial, yTrial, initial_guess)
except:
dumdum = 1
continue

# ---> STACKING RESULTS

if np.size(MC_pars) < 1:
MC_pars = np.copy(iteration_identifiers)
else:
MC_pars = np.vstack((MC_pars, iteration_identifiers))

# ---> SLICING THE ARRAY

print(np.shape(MC_pars))
# print(np.median(aFitpyars[:,1]))
print(np.std(MC_pars[:,1]))


The output I get is apparently satisfactory and plausible.



Many thanks in advance to any contributor!







python numpy statistics






share|improve this question







New contributor




Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question







New contributor




Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question






New contributor




Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 1 hour ago









Shawn Marion fanShawn Marion fan

61




61




New contributor




Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Shawn Marion fan is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • $begingroup$
    Welcome to Code Review! In order to get the best possible outcome from the review please change your code so that is is runnable and complete (How to create a MWE?, minimal is not so important here). This allows users to verify that it is actually on-topic as well as to get a better feeling on what you actually want to accomplish.
    $endgroup$
    – Alex
    47 mins ago












  • $begingroup$
    Does the code need to be generalised in any particular way? Are you wanting to apply it to different datasets, or to fit a different family of curves? Do you want to store the output for further analysis?
    $endgroup$
    – Russ Hyde
    46 mins ago




















  • $begingroup$
    Welcome to Code Review! In order to get the best possible outcome from the review please change your code so that is is runnable and complete (How to create a MWE?, minimal is not so important here). This allows users to verify that it is actually on-topic as well as to get a better feeling on what you actually want to accomplish.
    $endgroup$
    – Alex
    47 mins ago












  • $begingroup$
    Does the code need to be generalised in any particular way? Are you wanting to apply it to different datasets, or to fit a different family of curves? Do you want to store the output for further analysis?
    $endgroup$
    – Russ Hyde
    46 mins ago


















$begingroup$
Welcome to Code Review! In order to get the best possible outcome from the review please change your code so that is is runnable and complete (How to create a MWE?, minimal is not so important here). This allows users to verify that it is actually on-topic as well as to get a better feeling on what you actually want to accomplish.
$endgroup$
– Alex
47 mins ago






$begingroup$
Welcome to Code Review! In order to get the best possible outcome from the review please change your code so that is is runnable and complete (How to create a MWE?, minimal is not so important here). This allows users to verify that it is actually on-topic as well as to get a better feeling on what you actually want to accomplish.
$endgroup$
– Alex
47 mins ago














$begingroup$
Does the code need to be generalised in any particular way? Are you wanting to apply it to different datasets, or to fit a different family of curves? Do you want to store the output for further analysis?
$endgroup$
– Russ Hyde
46 mins ago






$begingroup$
Does the code need to be generalised in any particular way? Are you wanting to apply it to different datasets, or to fit a different family of curves? Do you want to store the output for further analysis?
$endgroup$
– Russ Hyde
46 mins ago












0






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