Lognormal Size Distribution¶

Particula Index / Particula / Particles / Properties / Lognormal Size Distribution

Auto-generated documentation for particula.particles.properties.lognormal_size_distribution module.

lognormal_pdf_distribution¶

Show source in lognormal_size_distribution.py:12

Probability Density Function for the lognormal distribution of particles for varying modes, geometric standard deviations, and numbers of particles, across a range of x_values.

Arguments¶

x_values - The size interval of the distribution.
mode - Scales corresponding to the mode in lognormal for different modes.
geometric_standard_deviation - Geometric standard deviations of the distribution for different modes.
number_of_particles - Number of particles for each mode.

Returns¶

The normalized lognormal distribution of the particles, summed across all modes.

References¶

Signature¶

def lognormal_pdf_distribution(
    x_values: NDArray[np.float64],
    mode: NDArray[np.float64],
    geometric_standard_deviation: NDArray[np.float64],
    number_of_particles: NDArray[np.float64],
) -> NDArray[np.float64]: ...

lognormal_pmf_distribution¶

Show source in lognormal_size_distribution.py:67

Probability Mass function for lognormal distribution of particles for varying modes, geometric standard deviations, and numbers of particles, across a range of x_values.

Arguments¶

x_values - The size interval of the distribution.
mode - Scales corresponding to the mode in lognormal for different modes.
geometric_standard_deviation - Geometric standard deviations of the distribution for different modes.
number_of_particles - Number of particles for each mode.

Returns¶

The normalized lognormal distribution of the particles, summed across all modes.

References¶

Signature¶

def lognormal_pmf_distribution(
    x_values: NDArray[np.float64],
    mode: NDArray[np.float64],
    geometric_standard_deviation: NDArray[np.float64],
    number_of_particles: NDArray[np.float64],
) -> NDArray[np.float64]: ...

lognormal_sample_distribution¶

Show source in lognormal_size_distribution.py:117

Sample a Probability Density Function for the lognormal distribution.

Samples a set of samples (particle) to represent the lognormal distribution for varying modes, geometric standard deviations, and numbers of particles, across a range of x_values.

Arguments¶

mode - Scales corresponding to the mode in lognormal for different modes.
geometric_standard_deviation - Geometric standard deviations of the distribution for different modes.
number_of_particles - Number of particles for each mode.
number_of_samples - Number of samples to generate.

Returns¶

The normalized lognormal distribution of the particles, summed across all modes.

References¶

Signature¶

def lognormal_sample_distribution(
    mode: NDArray[np.float64],
    geometric_standard_deviation: NDArray[np.float64],
    number_of_particles: NDArray[np.float64],
    number_of_samples: int,
) -> NDArray[np.float64]: ...