Describing variability of MSW composition data with the log-logistic distribution
Mark W Milke1, Vincent Wong, Edward A McBean
1Department of Civil Engineering, University of Canterbury, Christchurch, New Zealand. mark.milke@canterbury.ac.nz
Summary
Accurate solid waste planning requires understanding waste composition variability. The log-logistic distribution effectively models diverse solid waste types, improving data reliability for planning.
Area of Science:
- Environmental Science
- Data Analysis
- Waste Management
Background:
- Solid waste planning relies on accurate composition data.
- Uncertainty exists in selecting appropriate probability distributions for waste variability.
- British Columbia, Canada, provided detailed solid waste analyses.
Purpose of the Study:
- To identify generally valuable probability distributions for solid waste composition variability.
- To assess the suitability of various distributions for diverse waste types.
- To inform more robust solid waste management strategies.
Main Methods:
- Twenty-two solid waste composition analyses were fitted to probability distributions using BestFit software.
- Distributions were ranked using three goodness-of-fit parameters across twelve waste fractions.
- Sensitivity analysis was performed regarding the number of waste components and distribution parameters.
Main Results:
- The log-logistic distribution demonstrated the best overall fit for a wide range of solid waste composition types.
- Results were insensitive to the number of waste components or the choice of two- vs. three-parameter distributions.
- While other distributions fit individual waste types better, the log-logistic provided superior general applicability.
Conclusions:
- The log-logistic distribution is a highly suitable and versatile model for representing solid waste composition variability.
- This finding enhances the reliability of data inputs for solid waste planning and management.
- The study provides a robust statistical approach for waste composition analysis.
Related Concept Videos
Estimating Population Mean with Known Standard Deviation
To construct a confidence interval for a single unknown population mean μ, where the population standard deviation is known, we need sample mean as an estimate for μ and we need the margin of error. Here, the margin of error (EBM) is called the error bound for a population mean (abbreviated EBM). The sample mean is the point estimate of the unknown population mean μ.
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate + error bound)
The...
The confidence interval estimate will have the form as follows:
(point estimate - error bound, point estimate + error bound)
The...
Binomial Probability Distribution
A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
Parametric Survival Analysis: Weibull and Exponential Methods
Parametric survival analysis models survival data by assuming a specific probability distribution for the time until an event occurs. The Weibull and exponential distributions are two of the most commonly used methods in this context, due to their versatility and relatively straightforward application.
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Mechanistic Models: Compartment Models in Individual and Population Analysis
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
The Mantel-Cox Log-Rank Test
The Mantel-Cox log-rank test is a widely used statistical method for comparing the survival distributions of two groups. It tests whether a statistically significant difference exists in survival times between the groups without assuming a specific distribution for the survival data, making it a non-parametric test. This flexibility makes the log-rank test particularly valuable in medical research and other fields where the timing of an event, such as death or disease recurrence, is of interest.
Chi-square Distribution
How does one determine if bingo numbers are evenly distributed or if some numbers occurred with a greater frequency? Or if the types of movies people preferred were different across different age groups or if a coffee machine dispensed approximately the same amount of coffee each time. These questions can be addressed by conducting a hypothesis test. One distribution that can be used to find answers to such questions is known as the chi-square distribution. The chi-square distribution has...


