Ergodicity is one of the most important concepts in statistics. More importantly, it has a lot of real world applications. In this case, it's applicable to the staggering number of internet connected devices in the world of Internet of Things (IoT). Most of the experiments conducted by research labs, businesses, and marketing agencies often rely on … Continue reading Ergodicity In The World Of IoT
Tag: Statistics
Measuring The Memory Of Time Series Data
Time series data has memory. It remembers what happened in the past and avenge any wrongdoings! Can you believe it? Okay the avenging part may not be true, but it definitely remembers the past. The "memory" refers to how strongly the past can influence the future in a given time series variable. If it has a … Continue reading Measuring The Memory Of Time Series Data
What Is Long Memory In Time Series Analysis
We encounter time series data very frequently in the real world. Some common examples include real time sensors, surveillance video, stock market, astrophysics, speech recognition, and so on. In order to study time series data, we try to extract various characteristics that tend to define it. One of the most important things to think about … Continue reading What Is Long Memory In Time Series Analysis
Estimating The Predictability Of Time Series Data – Part II
In the previous blog post, we discussed various types of time series data. We understood the concepts of stationarity and shocks. In this blog post, we will continue to discuss how we can estimate the predictability of time series data. People say that future is unpredictable. But that's grossly reductive! What they actually mean to … Continue reading Estimating The Predictability Of Time Series Data – Part II
Estimating The Predictability Of Time Series Data – Part I
Time series data refers to a sequence of measurements made over time. The frequency of these measurements are usually fixed, say once every second or once every hour. We encounter time series data in a variety of scenarios in the real world. Some examples include stock market data, sensor data, speech data, and so on. … Continue reading Estimating The Predictability Of Time Series Data – Part I
What Is Bayesian Information Criterion?
Let's say you have a bunch of datapoints and you want to come up with a nice model for them. We want this model to satisfy all the points in the best possible way. If we do this, then we will be able to use a mathematical formula to extract information about unknown points. At … Continue reading What Is Bayesian Information Criterion?
What’s The Importance Of Hyperparameters In Machine Learning?
Machine learning is becoming increasingly relevant in all walks of science and technology. In fact, it’s an integral part of many fields like computer vision, natural language processing, robotics, e-commerce, spam filtering, and so on. The list is potential applications is pretty huge! People working on machine learning tend to build models based on training data, … Continue reading What’s The Importance Of Hyperparameters In Machine Learning?
What Is A Markov Chain?
If you have studied probability theory, then you must have heard Markov's name. When we study probability and statistics, we tend to deal with independent trials. What this means is that if you conduct an experiment a lot of times, we assume that the outcome of one trial doesn't influence the outcome of the next … Continue reading What Is A Markov Chain?
What Is Maximum Likelihood Estimation?
Let's say you are trying to estimate the height of a group of people somewhere. If the group is small enough, you can just measure all of them and be done with it. But in real life, the groups are pretty large and you cannot measure each and every person. So we end up having … Continue reading What Is Maximum Likelihood Estimation?
What Are Confidence Intervals?
Confidence interval is a concept in statistics that is used extensively in many diverse areas like physics, chemistry, computer vision, machine learning, genetics, etc. This concept is so fundamental that any modern science would eventually end up using it. Let's say you have collected some data and you want to understand the behavior of that … Continue reading What Are Confidence Intervals?
Perpetual Enigma 