Skip to main content
Cross Validated

Return to Question

added mathjax formatting and capitalized some uncapitalized I's, also made spelling of "hazard function" consistent
Source Link
edit approved Nov 16, 2016 at 18:16
Chill2Macht
edit approved Nov 16, 2016 at 18:16
Chill2Macht
  • 6.5k
  • 5
  • 30
  • 62

I'm attempting to understand what the survivor and hazard functions describe under a non-traditional context. I have data comprising distances between successive points on a line (1D$1D$ vector):

enter image description here

Traditionally in my field, such data is fitted with a gamma-distribution in an attempt to describe the distribution of the points. For example, such data may yield a best-fit (MLE) gamma of α = 3.5 β = 450$\alpha = 3.5$, $\beta = 450$. In plotting this distribution as a survivor function, I obtain:

enter image description here

And as a hazard-function function:

enter image description here

Under this context, what is each plot describing? It was my understanding that the Hazard-functionhazard function could be understood as describing the probability of finding another point when a point already exists at x(0)$x(0)$ i.e. the further away from a pre-existing point you go, the higher the chance is that you will encounter another point. However, I am not entirely sure if this is correct.

With regards to the survivor function, i'mI'm struggling to translate the typical descriptions of it (regarding time, populations etc.) into a more applicable understanding.

Any help would be greatly appreciated.

I'm attempting to understand what the survivor and hazard functions describe under a non-traditional context. I have data comprising distances between successive points on a line (1D vector):

enter image description here

Traditionally in my field, such data is fitted with a gamma-distribution in an attempt to describe the distribution of the points. For example, such data may yield a best-fit (MLE) gamma of α = 3.5 β = 450. In plotting this distribution as a survivor function, I obtain:

enter image description here

And as a hazard-function:

enter image description here

Under this context, what is each plot describing? It was my understanding that the Hazard-function could be understood as describing the probability of finding another point when a point already exists at x(0) i.e. the further away from a pre-existing point you go, the higher the chance is that you will encounter another point. However, I am not entirely sure if this is correct.

With regards to the survivor function, i'm struggling to translate the typical descriptions of it (regarding time, populations etc.) into a more applicable understanding.

Any help would be greatly appreciated.

I'm attempting to understand what the survivor and hazard functions describe under a non-traditional context. I have data comprising distances between successive points on a line ($1D$ vector):

enter image description here

Traditionally in my field, such data is fitted with a gamma-distribution in an attempt to describe the distribution of the points. For example, such data may yield a best-fit (MLE) gamma of $\alpha = 3.5$, $\beta = 450$. In plotting this distribution as a survivor function, I obtain:

enter image description here

And as a hazard function:

enter image description here

Under this context, what is each plot describing? It was my understanding that the hazard function could be understood as describing the probability of finding another point when a point already exists at $x(0)$ i.e. the further away from a pre-existing point you go, the higher the chance is that you will encounter another point. However, I am not entirely sure if this is correct.

With regards to the survivor function, I'm struggling to translate the typical descriptions of it (regarding time, populations etc.) into a more applicable understanding.

Any help would be greatly appreciated.

Source Link
AnnaSchumann
AnnaSchumann
  • 487
  • 3
  • 12

Survivor Function vs. Hazard Function

I'm attempting to understand what the survivor and hazard functions describe under a non-traditional context. I have data comprising distances between successive points on a line (1D vector):

enter image description here

Traditionally in my field, such data is fitted with a gamma-distribution in an attempt to describe the distribution of the points. For example, such data may yield a best-fit (MLE) gamma of α = 3.5 β = 450. In plotting this distribution as a survivor function, I obtain:

enter image description here

And as a hazard-function:

enter image description here

Under this context, what is each plot describing? It was my understanding that the Hazard-function could be understood as describing the probability of finding another point when a point already exists at x(0) i.e. the further away from a pre-existing point you go, the higher the chance is that you will encounter another point. However, I am not entirely sure if this is correct.

With regards to the survivor function, i'm struggling to translate the typical descriptions of it (regarding time, populations etc.) into a more applicable understanding.

Any help would be greatly appreciated.