Events are often triggered when a stochastic or random process first encounters a threshold. The threshold can be a barrier, boundary or specified state of a system. The amount of time required for a stochastic process, starting from some initial state, to encounter a threshold for the first time is referred to variously as a first hitting time.
In statistics, first-hitting-time models are a sub-class of survival models. The first hitting time, also called first passage time, of the barrier set


{\displaystyle B}
with respect to an instance of a stochastic process is the time until the stochastic process first enters


{\displaystyle B}
More colloquially, a first passage time in a stochastic system, is the time taken for a state variable to reach a certain value. Understanding this metric allows one to further understand the physical system under observation, and as such has been the topic of research in very diverse fields, from economics to ecology.The idea that a first hitting time of a stochastic process might describe the time to occurrence of an event has a long history, starting with an interest in the first passage time of Wiener diffusion processes in economics and then in physics in the early 1900s. Modeling the probability of financial ruin as a first passage time was an early application in the field of insurance. An interest in the mathematical properties of first-hitting-times and statistical models and methods for analysis of survival data appeared steadily between the middle and end of the 20th century.

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  1. PhillipeC

    First time competing - Practical Pistol

    What is up, everybody? So, I “pulled the trigger” and signed up for my first shooting match. Going to the Practical Pistol at DDRC on April 1st. Any advice is welcome as I have zero experience with competitive shooting. What to take? How many rounds? What to expect? Attached is the picture...
  2. M

    First time, long time

    Heard from a former co worker
  3. N

    New member, first time gun owner, gun builder and attempting to sell for the first time (help/advice needed)

    Hello everyone, hope you're having a great weekend. Bummer about the Seahawks but we all saw that L coming. So, there isn't really anywhere clearly defined for me to post my current issues/questions so I'll just give it a shot here and if you want to point me in a better direction, please do so...
  4. bababoris

    First time pheasant hunting. Could use some advice pls

    This coming January I am going on my first hunting trip in Echo Or. Going with experienced hunter friends and a guide so I’ll be be in good hands. I have a few questions about clothing. Specifically in January should I go out and buy some water proof overalls? I have a good set of waterproof...
  5. lesnessman

    Long time listener first time caller

    Hello. I’ve lurked for some time and have now signed up so am saying hi. Native Oregonian, like guns, long walks on the beach, etc. Appreciate the civil tone and depth of knowledge. Cheers.
  6. BlueRibbonHW

    First Time Rattle Can AR

    Decided to do my first rattle can job on an AR. A couple imperfections, but I'm pretty happy with it. Proably won't be able to tell after a few trips to the woods. What do you think, how did I do for a rookie? Edited, auto correct errors.
  7. arakboss

    Why did this pop up occur? First time I've seen it.

    My post was made in the stock market on fire thread.
  8. icqraid

    Long time reader, first time poster

    Like many here. I have read this forum for a while now. I just decided to join. Thank you. Snowing in Bend today.
  9. M

    First time turkey hunting

    I don't see any threads on turkey hunting more recent than 2019, so I'll post one and see if I get any traction. This will be my first time going out for turkeys. From the research I've done it sounds like the best populations in the Western part of Oregon are down near Roseburg, but thats a...
  10. UnionMillsNW

    Nephew's First Time - Montana

    Hey Folks, I'm taking my 9 year old nephew out this year to teach him how to hunt. We're starting off small; how to move quietly, what to look for, where to look ect. He really wants to hunt deer. I think it's best to start him off with squirrels. I'm having trouble googling a map of BLM land...
  11. Gunbuggy

    Going to Westport WA for the first time… suggestions?

    I am a longtime SW WA resident. I grew up in salmon creek before it was a town. I would ride my dirt bike for hours before touching pavement. I still live in salmon creek now and it’s a real town now, no longer ridgefields little brother. I grew up going to Long Beach, Ilwaco, cannon beach...
  12. patmenace

    I shot a gun for the first time 2 months ago

    Hello, it's nice to be here. I shot a gun for the first time 2 months ago in a handgun saftey class that I took with my wife. We are both in our 40s and recently bought our first house and took the class to see if a gun would be something we would be comfortable having in the house for...
  13. Mrlomeli

    First time owner here, appreciate the hospitality! Also have a question.

    Fairly new to the world of firearms, found this forum while combing the laws here in the PNW. Just purchased my first handgun, a Glock G42. Unfortunately I was put in que so i wasn't able to take it home today. Has anyone experienced the wait time recently to pick up their firearm? If so how...
  14. rdb241

    This is the first time I have heard of anybody charged with these crimes

    Unlawful manufacture of an untraceable firearm with the intent to sell the untraceable firearm Undetectable or untraceable firearms, knowingly/recklessly allow/aid/facilitate/abed the assembly/manufacture by person ineligible to possess Failure to use dealer to facilitate transfer between two...
  15. Lennie

    Drug overdose deaths top 100,000 annually for the first time, driven by fentanyl, CDC data show

    Firearms deaths do not even come close to this number. And yet most of these deaths are caused by drugs that are illegal to possess.
  16. Evo8117

    First time edc looking for advice

    Looking for a little advice. I have these 3 pistol to choose from. A P320 Xcarry 9mm M&P 2.0 9mm and a glock 23 gen4 .I'm leaning forward the P320. I have a tactical muffin top. And the M&P grip is rough on the skin. And witch way the carry apex owb or iwb?
  17. B

    First Time Pistol Seller

    Trying to sell a pistol for the first time...WA state...have a prospective buyer in the I just have my FFL transfer the pistol to the buyer's FFL, and I then don't have to worry about my liability regarding who that buyer is/is not? Also, I can't see sending the pistol until I get...
  18. Bam

    I opened carried for the first time in my life

    I spent the last two weeks in the free states of Idaho, Montana, and Wyoming. Instead of my normal compact concealed carry piece, I opted for my P229 in a OWB holster, and in some places my 460 magnum in a shoulder holster, grizzly country after all. For the most part, not a single care was...
  19. SrMachoSolo

    First time carrying while cycling, had to call 911...

    I bike once in a while and have been looking for solutions to bring something for self defense. Especially after being attacked by three dogs while riding years ago... I was lucky to get out of that one alive, and have the missing parts of my leg as a reminder. I bought a bag that straps to the...
  20. Erick

    Long time creeper, first time caller...

    I've been on for a while, but following another Facebook ban I find myself with enough spare time to joy something down. Anyways, I'm a auto shop owner in Hillsboro and a resident of Frosty Grave (Forest Grove), long time gun owner and enthusiast. I like NFA stuff, AR's, CZ's, and anything...
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